Finding the Third Proportional to 152,626 and 233,477

Step by Step Solution

1. Step 1: Write the proportion equation
   152,626 : 233,477 = 233,477 : x
2. Step 2: Convert to fraction form
   152,626/233,477 = 233,477/x
3. Step 3: Cross multiply
   152,626x = 233,477 × 233,477
4. Step 4: Simplify right side
   152,626x = 54,511,509,529
5. Step 5: Solve for x
   x = 54,511,509,529/152,626
6. Step 6: Final answer
   x = 357,157.43