Finding the Third Proportional to 152,613 and 233,455

Step by Step Solution

1. Step 1: Write the proportion equation
   152,613 : 233,455 = 233,455 : x
2. Step 2: Convert to fraction form
   152,613/233,455 = 233,455/x
3. Step 3: Cross multiply
   152,613x = 233,455 × 233,455
4. Step 4: Simplify right side
   152,613x = 54,501,237,025
5. Step 5: Solve for x
   x = 54,501,237,025/152,613
6. Step 6: Final answer
   x = 357,120.54