Finding the Third Proportional to 78,792 and 113,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,792 : 113,266.50 = 113,266.50 : x
2. Step 2: Convert to fraction form
   78,792/113,266.50 = 113,266.50/x
3. Step 3: Cross multiply
   78,792x = 113,266.50 × 113,266.50
4. Step 4: Simplify right side
   78,792x = 12,829,300,022.25
5. Step 5: Solve for x
   x = 12,829,300,022.25/78,792
6. Step 6: Final answer
   x = 162,824.91