Finding the Third Proportional to 76,596 and 114,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,596 : 114,997.50 = 114,997.50 : x
2. Step 2: Convert to fraction form
   76,596/114,997.50 = 114,997.50/x
3. Step 3: Cross multiply
   76,596x = 114,997.50 × 114,997.50
4. Step 4: Simplify right side
   76,596x = 13,224,425,006.25
5. Step 5: Solve for x
   x = 13,224,425,006.25/76,596
6. Step 6: Final answer
   x = 172,651.64