Finding the Third Proportional to 91,002 and 137,775

Step by Step Solution

1. Step 1: Write the proportion equation
   91,002 : 137,775 = 137,775 : x
2. Step 2: Convert to fraction form
   91,002/137,775 = 137,775/x
3. Step 3: Cross multiply
   91,002x = 137,775 × 137,775
4. Step 4: Simplify right side
   91,002x = 18,981,950,625
5. Step 5: Solve for x
   x = 18,981,950,625/91,002
6. Step 6: Final answer
   x = 208,588.28