Finding the Third Proportional to 152,140 and 238,655

Step by Step Solution

1. Step 1: Write the proportion equation
   152,140 : 238,655 = 238,655 : x
2. Step 2: Convert to fraction form
   152,140/238,655 = 238,655/x
3. Step 3: Cross multiply
   152,140x = 238,655 × 238,655
4. Step 4: Simplify right side
   152,140x = 56,956,209,025
5. Step 5: Solve for x
   x = 56,956,209,025/152,140
6. Step 6: Final answer
   x = 374,367.09