Finding the Third Proportional to 152,216 and 238,774

Step by Step Solution

1. Step 1: Write the proportion equation
   152,216 : 238,774 = 238,774 : x
2. Step 2: Convert to fraction form
   152,216/238,774 = 238,774/x
3. Step 3: Cross multiply
   152,216x = 238,774 × 238,774
4. Step 4: Simplify right side
   152,216x = 57,013,023,076
5. Step 5: Solve for x
   x = 57,013,023,076/152,216
6. Step 6: Final answer
   x = 374,553.42