Finding the Third Proportional to 90,641 and 137,882

Step by Step Solution

1. Step 1: Write the proportion equation
   90,641 : 137,882 = 137,882 : x
2. Step 2: Convert to fraction form
   90,641/137,882 = 137,882/x
3. Step 3: Cross multiply
   90,641x = 137,882 × 137,882
4. Step 4: Simplify right side
   90,641x = 19,011,445,924
5. Step 5: Solve for x
   x = 19,011,445,924/90,641
6. Step 6: Final answer
   x = 209,744.44