Finding the Third Proportional to 152,732 and 233,634

Step by Step Solution

1. Step 1: Write the proportion equation
   152,732 : 233,634 = 233,634 : x
2. Step 2: Convert to fraction form
   152,732/233,634 = 233,634/x
3. Step 3: Cross multiply
   152,732x = 233,634 × 233,634
4. Step 4: Simplify right side
   152,732x = 54,584,845,956
5. Step 5: Solve for x
   x = 54,584,845,956/152,732
6. Step 6: Final answer
   x = 357,389.72