Finding the Third Proportional to 98,714 and 140,688

Step by Step Solution

1. Step 1: Write the proportion equation
   98,714 : 140,688 = 140,688 : x
2. Step 2: Convert to fraction form
   98,714/140,688 = 140,688/x
3. Step 3: Cross multiply
   98,714x = 140,688 × 140,688
4. Step 4: Simplify right side
   98,714x = 19,793,113,344
5. Step 5: Solve for x
   x = 19,793,113,344/98,714
6. Step 6: Final answer
   x = 200,509.69