Finding the Third Proportional to 90,828 and 137,061

Step by Step Solution

1. Step 1: Write the proportion equation
   90,828 : 137,061 = 137,061 : x
2. Step 2: Convert to fraction form
   90,828/137,061 = 137,061/x
3. Step 3: Cross multiply
   90,828x = 137,061 × 137,061
4. Step 4: Simplify right side
   90,828x = 18,785,717,721
5. Step 5: Solve for x
   x = 18,785,717,721/90,828
6. Step 6: Final answer
   x = 206,827.38