Finding the Third Proportional to 152,064 and 238,539

Step by Step Solution

1. Step 1: Write the proportion equation
   152,064 : 238,539 = 238,539 : x
2. Step 2: Convert to fraction form
   152,064/238,539 = 238,539/x
3. Step 3: Cross multiply
   152,064x = 238,539 × 238,539
4. Step 4: Simplify right side
   152,064x = 56,900,854,521
5. Step 5: Solve for x
   x = 56,900,854,521/152,064
6. Step 6: Final answer
   x = 374,190.17