Finding the Third Proportional to 76,401 and 116,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,401 : 116,797.50 = 116,797.50 : x
2. Step 2: Convert to fraction form
   76,401/116,797.50 = 116,797.50/x
3. Step 3: Cross multiply
   76,401x = 116,797.50 × 116,797.50
4. Step 4: Simplify right side
   76,401x = 13,641,656,006.25
5. Step 5: Solve for x
   x = 13,641,656,006.25/76,401
6. Step 6: Final answer
   x = 178,553.37