Finding the Third Proportional to 90,634 and 137,871

Step by Step Solution

1. Step 1: Write the proportion equation
   90,634 : 137,871 = 137,871 : x
2. Step 2: Convert to fraction form
   90,634/137,871 = 137,871/x
3. Step 3: Cross multiply
   90,634x = 137,871 × 137,871
4. Step 4: Simplify right side
   90,634x = 19,008,412,641
5. Step 5: Solve for x
   x = 19,008,412,641/90,634
6. Step 6: Final answer
   x = 209,727.17