Finding the Third Proportional to 91,386 and 137,080

Step by Step Solution

1. Step 1: Write the proportion equation
   91,386 : 137,080 = 137,080 : x
2. Step 2: Convert to fraction form
   91,386/137,080 = 137,080/x
3. Step 3: Cross multiply
   91,386x = 137,080 × 137,080
4. Step 4: Simplify right side
   91,386x = 18,790,926,400
5. Step 5: Solve for x
   x = 18,790,926,400/91,386
6. Step 6: Final answer
   x = 205,621.50