Finding the Third Proportional to 64,854 and 98,144

Step by Step Solution

1. Step 1: Write the proportion equation
   64,854 : 98,144 = 98,144 : x
2. Step 2: Convert to fraction form
   64,854/98,144 = 98,144/x
3. Step 3: Cross multiply
   64,854x = 98,144 × 98,144
4. Step 4: Simplify right side
   64,854x = 9,632,244,736
5. Step 5: Solve for x
   x = 9,632,244,736/64,854
6. Step 6: Final answer
   x = 148,521.98