Finding the Third Proportional to 83,770,608,894 and 117,546,747,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,770,608,894 : 117,546,747,475.50 = 117,546,747,475.50 : x
2. Step 2: Convert to fraction form
   83,770,608,894/117,546,747,475.50 = 117,546,747,475.50/x
3. Step 3: Cross multiply
   83,770,608,894x = 117,546,747,475.50 × 117,546,747,475.50
4. Step 4: Simplify right side
   83,770,608,894x = 13,817,237,842,068,965,949,440
5. Step 5: Solve for x
   x = 13,817,237,842,068,965,949,440/83,770,608,894
6. Step 6: Final answer
   x = 164,941,356,216.63