Finding the Third Proportional to 152,548 and 233,362

Step by Step Solution

1. Step 1: Write the proportion equation
   152,548 : 233,362 = 233,362 : x
2. Step 2: Convert to fraction form
   152,548/233,362 = 233,362/x
3. Step 3: Cross multiply
   152,548x = 233,362 × 233,362
4. Step 4: Simplify right side
   152,548x = 54,457,823,044
5. Step 5: Solve for x
   x = 54,457,823,044/152,548
6. Step 6: Final answer
   x = 356,988.12