Finding the Third Proportional to 152,213 and 238,769

Step by Step Solution

1. Step 1: Write the proportion equation
   152,213 : 238,769 = 238,769 : x
2. Step 2: Convert to fraction form
   152,213/238,769 = 238,769/x
3. Step 3: Cross multiply
   152,213x = 238,769 × 238,769
4. Step 4: Simplify right side
   152,213x = 57,010,635,361
5. Step 5: Solve for x
   x = 57,010,635,361/152,213
6. Step 6: Final answer
   x = 374,545.11