Finding the Third Proportional to 253,557 and 389,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,557 : 389,770.50 = 389,770.50 : x
2. Step 2: Convert to fraction form
   253,557/389,770.50 = 389,770.50/x
3. Step 3: Cross multiply
   253,557x = 389,770.50 × 389,770.50
4. Step 4: Simplify right side
   253,557x = 151,921,042,670.25
5. Step 5: Solve for x
   x = 151,921,042,670.25/253,557
6. Step 6: Final answer
   x = 599,159.33