Finding the Third Proportional to 152,614 and 233,458

Step by Step Solution

1. Step 1: Write the proportion equation
   152,614 : 233,458 = 233,458 : x
2. Step 2: Convert to fraction form
   152,614/233,458 = 233,458/x
3. Step 3: Cross multiply
   152,614x = 233,458 × 233,458
4. Step 4: Simplify right side
   152,614x = 54,502,637,764
5. Step 5: Solve for x
   x = 54,502,637,764/152,614
6. Step 6: Final answer
   x = 357,127.38