Finding the Third Proportional to 72,585 and 155,538

Step by Step Solution

1. Step 1: Write the proportion equation
   72,585 : 155,538 = 155,538 : x
2. Step 2: Convert to fraction form
   72,585/155,538 = 155,538/x
3. Step 3: Cross multiply
   72,585x = 155,538 × 155,538
4. Step 4: Simplify right side
   72,585x = 24,192,069,444
5. Step 5: Solve for x
   x = 24,192,069,444/72,585
6. Step 6: Final answer
   x = 333,292.96