Finding the Third Proportional to 152,616 and 233,461

Step by Step Solution

1. Step 1: Write the proportion equation
   152,616 : 233,461 = 233,461 : x
2. Step 2: Convert to fraction form
   152,616/233,461 = 233,461/x
3. Step 3: Cross multiply
   152,616x = 233,461 × 233,461
4. Step 4: Simplify right side
   152,616x = 54,504,038,521
5. Step 5: Solve for x
   x = 54,504,038,521/152,616
6. Step 6: Final answer
   x = 357,131.88