Finding the Third Proportional to 76,660 and 105,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,660 : 105,562.50 = 105,562.50 : x
2. Step 2: Convert to fraction form
   76,660/105,562.50 = 105,562.50/x
3. Step 3: Cross multiply
   76,660x = 105,562.50 × 105,562.50
4. Step 4: Simplify right side
   76,660x = 11,143,441,406.25
5. Step 5: Solve for x
   x = 11,143,441,406.25/76,660
6. Step 6: Final answer
   x = 145,361.88