Finding the Third Proportional to 76,529 and 114,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,529 : 114,870.50 = 114,870.50 : x
2. Step 2: Convert to fraction form
   76,529/114,870.50 = 114,870.50/x
3. Step 3: Cross multiply
   76,529x = 114,870.50 × 114,870.50
4. Step 4: Simplify right side
   76,529x = 13,195,231,770.25
5. Step 5: Solve for x
   x = 13,195,231,770.25/76,529
6. Step 6: Final answer
   x = 172,421.33