Finding the Third Proportional to 76,264.50 and 116,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,264.50 : 116,665.50 = 116,665.50 : x
2. Step 2: Convert to fraction form
   76,264.50/116,665.50 = 116,665.50/x
3. Step 3: Cross multiply
   76,264.50x = 116,665.50 × 116,665.50
4. Step 4: Simplify right side
   76,264.50x = 13,610,838,890.25
5. Step 5: Solve for x
   x = 13,610,838,890.25/76,264.50
6. Step 6: Final answer
   x = 178,468.87