Finding the Third Proportional to 152,613.75 and 233,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   152,613.75 : 233,456.25 = 233,456.25 : x
2. Step 2: Convert to fraction form
   152,613.75/233,456.25 = 233,456.25/x
3. Step 3: Cross multiply
   152,613.75x = 233,456.25 × 233,456.25
4. Step 4: Simplify right side
   152,613.75x = 54,501,820,664.06
5. Step 5: Solve for x
   x = 54,501,820,664.06/152,613.75
6. Step 6: Final answer
   x = 357,122.61