Finding the Third Proportional to 152,618 and 233,464

Step by Step Solution

1. Step 1: Write the proportion equation
   152,618 : 233,464 = 233,464 : x
2. Step 2: Convert to fraction form
   152,618/233,464 = 233,464/x
3. Step 3: Cross multiply
   152,618x = 233,464 × 233,464
4. Step 4: Simplify right side
   152,618x = 54,505,439,296
5. Step 5: Solve for x
   x = 54,505,439,296/152,618
6. Step 6: Final answer
   x = 357,136.38