Finding the Third Proportional to 72,557 and 152,458

Step by Step Solution

1. Step 1: Write the proportion equation
   72,557 : 152,458 = 152,458 : x
2. Step 2: Convert to fraction form
   72,557/152,458 = 152,458/x
3. Step 3: Cross multiply
   72,557x = 152,458 × 152,458
4. Step 4: Simplify right side
   72,557x = 23,243,441,764
5. Step 5: Solve for x
   x = 23,243,441,764/72,557
6. Step 6: Final answer
   x = 320,347.34