Finding the Third Proportional to 123,876 and 156,654

Step by Step Solution

1. Step 1: Write the proportion equation
   123,876 : 156,654 = 156,654 : x
2. Step 2: Convert to fraction form
   123,876/156,654 = 156,654/x
3. Step 3: Cross multiply
   123,876x = 156,654 × 156,654
4. Step 4: Simplify right side
   123,876x = 24,540,475,716
5. Step 5: Solve for x
   x = 24,540,475,716/123,876
6. Step 6: Final answer
   x = 198,105.17