Finding the Third Proportional to 91,374 and 137,061

Step by Step Solution

1. Step 1: Write the proportion equation
   91,374 : 137,061 = 137,061 : x
2. Step 2: Convert to fraction form
   91,374/137,061 = 137,061/x
3. Step 3: Cross multiply
   91,374x = 137,061 × 137,061
4. Step 4: Simplify right side
   91,374x = 18,785,717,721
5. Step 5: Solve for x
   x = 18,785,717,721/91,374
6. Step 6: Final answer
   x = 205,591.50