Finding the Third Proportional to 150,108 and 231,654

Step by Step Solution

1. Step 1: Write the proportion equation
   150,108 : 231,654 = 231,654 : x
2. Step 2: Convert to fraction form
   150,108/231,654 = 231,654/x
3. Step 3: Cross multiply
   150,108x = 231,654 × 231,654
4. Step 4: Simplify right side
   150,108x = 53,663,575,716
5. Step 5: Solve for x
   x = 53,663,575,716/150,108
6. Step 6: Final answer
   x = 357,499.77