Finding the Third Proportional to 103,658 and 156,218

Step by Step Solution

1. Step 1: Write the proportion equation
   103,658 : 156,218 = 156,218 : x
2. Step 2: Convert to fraction form
   103,658/156,218 = 156,218/x
3. Step 3: Cross multiply
   103,658x = 156,218 × 156,218
4. Step 4: Simplify right side
   103,658x = 24,404,063,524
5. Step 5: Solve for x
   x = 24,404,063,524/103,658
6. Step 6: Final answer
   x = 235,428.66