Finding the Third Proportional to 90,638 and 137,876

Step by Step Solution

1. Step 1: Write the proportion equation
   90,638 : 137,876 = 137,876 : x
2. Step 2: Convert to fraction form
   90,638/137,876 = 137,876/x
3. Step 3: Cross multiply
   90,638x = 137,876 × 137,876
4. Step 4: Simplify right side
   90,638x = 19,009,791,376
5. Step 5: Solve for x
   x = 19,009,791,376/90,638
6. Step 6: Final answer
   x = 209,733.13