Finding the Third Proportional to 149,760 and 325,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,760 : 325,762.50 = 325,762.50 : x
2. Step 2: Convert to fraction form
   149,760/325,762.50 = 325,762.50/x
3. Step 3: Cross multiply
   149,760x = 325,762.50 × 325,762.50
4. Step 4: Simplify right side
   149,760x = 106,121,206,406.25
5. Step 5: Solve for x
   x = 106,121,206,406.25/149,760
6. Step 6: Final answer
   x = 708,608.48