Finding the Third Proportional to 152,906 and 233,750

Step by Step Solution

1. Step 1: Write the proportion equation
   152,906 : 233,750 = 233,750 : x
2. Step 2: Convert to fraction form
   152,906/233,750 = 233,750/x
3. Step 3: Cross multiply
   152,906x = 233,750 × 233,750
4. Step 4: Simplify right side
   152,906x = 54,639,062,500
5. Step 5: Solve for x
   x = 54,639,062,500/152,906
6. Step 6: Final answer
   x = 357,337.60