Finding the Third Proportional to 91,382 and 137,074

Step by Step Solution

1. Step 1: Write the proportion equation
   91,382 : 137,074 = 137,074 : x
2. Step 2: Convert to fraction form
   91,382/137,074 = 137,074/x
3. Step 3: Cross multiply
   91,382x = 137,074 × 137,074
4. Step 4: Simplify right side
   91,382x = 18,789,281,476
5. Step 5: Solve for x
   x = 18,789,281,476/91,382
6. Step 6: Final answer
   x = 205,612.50