Finding the Third Proportional to 78,364.50 and 117,546

Step by Step Solution

1. Step 1: Write the proportion equation
   78,364.50 : 117,546 = 117,546 : x
2. Step 2: Convert to fraction form
   78,364.50/117,546 = 117,546/x
3. Step 3: Cross multiply
   78,364.50x = 117,546 × 117,546
4. Step 4: Simplify right side
   78,364.50x = 13,817,062,116
5. Step 5: Solve for x
   x = 13,817,062,116/78,364.50
6. Step 6: Final answer
   x = 176,317.88