Finding the Third Proportional to 91,002 and 137,776

Step by Step Solution

1. Step 1: Write the proportion equation
   91,002 : 137,776 = 137,776 : x
2. Step 2: Convert to fraction form
   91,002/137,776 = 137,776/x
3. Step 3: Cross multiply
   91,002x = 137,776 × 137,776
4. Step 4: Simplify right side
   91,002x = 18,982,226,176
5. Step 5: Solve for x
   x = 18,982,226,176/91,002
6. Step 6: Final answer
   x = 208,591.31