Finding the Third Proportional to 83,343 and 117,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,343 : 117,364.50 = 117,364.50 : x
2. Step 2: Convert to fraction form
   83,343/117,364.50 = 117,364.50/x
3. Step 3: Cross multiply
   83,343x = 117,364.50 × 117,364.50
4. Step 4: Simplify right side
   83,343x = 13,774,425,860.25
5. Step 5: Solve for x
   x = 13,774,425,860.25/83,343
6. Step 6: Final answer
   x = 165,273.94