Finding the Third Proportional to 152,606 and 233,445

Step by Step Solution

1. Step 1: Write the proportion equation
   152,606 : 233,445 = 233,445 : x
2. Step 2: Convert to fraction form
   152,606/233,445 = 233,445/x
3. Step 3: Cross multiply
   152,606x = 233,445 × 233,445
4. Step 4: Simplify right side
   152,606x = 54,496,568,025
5. Step 5: Solve for x
   x = 54,496,568,025/152,606
6. Step 6: Final answer
   x = 357,106.33