Finding the Third Proportional to 123,878 and 156,657

Step by Step Solution

1. Step 1: Write the proportion equation
   123,878 : 156,657 = 156,657 : x
2. Step 2: Convert to fraction form
   123,878/156,657 = 156,657/x
3. Step 3: Cross multiply
   123,878x = 156,657 × 156,657
4. Step 4: Simplify right side
   123,878x = 24,541,415,649
5. Step 5: Solve for x
   x = 24,541,415,649/123,878
6. Step 6: Final answer
   x = 198,109.56