Finding the Third Proportional to 90,838 and 141,774

Step by Step Solution

1. Step 1: Write the proportion equation
   90,838 : 141,774 = 141,774 : x
2. Step 2: Convert to fraction form
   90,838/141,774 = 141,774/x
3. Step 3: Cross multiply
   90,838x = 141,774 × 141,774
4. Step 4: Simplify right side
   90,838x = 20,099,867,076
5. Step 5: Solve for x
   x = 20,099,867,076/90,838
6. Step 6: Final answer
   x = 221,271.57