Finding the Third Proportional to 253,665 and 393,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,665 : 393,322.50 = 393,322.50 : x
2. Step 2: Convert to fraction form
   253,665/393,322.50 = 393,322.50/x
3. Step 3: Cross multiply
   253,665x = 393,322.50 × 393,322.50
4. Step 4: Simplify right side
   253,665x = 154,702,589,006.25
5. Step 5: Solve for x
   x = 154,702,589,006.25/253,665
6. Step 6: Final answer
   x = 609,869.67