Finding the Third Proportional to 147,666 and 322,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,666 : 322,399.50 = 322,399.50 : x
2. Step 2: Convert to fraction form
   147,666/322,399.50 = 322,399.50/x
3. Step 3: Cross multiply
   147,666x = 322,399.50 × 322,399.50
4. Step 4: Simplify right side
   147,666x = 103,941,437,600.25
5. Step 5: Solve for x
   x = 103,941,437,600.25/147,666
6. Step 6: Final answer
   x = 703,895.53