Finding the Third Proportional to 42,426 and 98,631

Step by Step Solution

1. Step 1: Write the proportion equation
   42,426 : 98,631 = 98,631 : x
2. Step 2: Convert to fraction form
   42,426/98,631 = 98,631/x
3. Step 3: Cross multiply
   42,426x = 98,631 × 98,631
4. Step 4: Simplify right side
   42,426x = 9,728,074,161
5. Step 5: Solve for x
   x = 9,728,074,161/42,426
6. Step 6: Final answer
   x = 229,295.11