Finding the Third Proportional to 152,538 and 233,347

Step by Step Solution

1. Step 1: Write the proportion equation
   152,538 : 233,347 = 233,347 : x
2. Step 2: Convert to fraction form
   152,538/233,347 = 233,347/x
3. Step 3: Cross multiply
   152,538x = 233,347 × 233,347
4. Step 4: Simplify right side
   152,538x = 54,450,822,409
5. Step 5: Solve for x
   x = 54,450,822,409/152,538
6. Step 6: Final answer
   x = 356,965.62