Finding the Third Proportional to 65,658 and 98,460

Step by Step Solution

1. Step 1: Write the proportion equation
   65,658 : 98,460 = 98,460 : x
2. Step 2: Convert to fraction form
   65,658/98,460 = 98,460/x
3. Step 3: Cross multiply
   65,658x = 98,460 × 98,460
4. Step 4: Simplify right side
   65,658x = 9,694,371,600
5. Step 5: Solve for x
   x = 9,694,371,600/65,658
6. Step 6: Final answer
   x = 147,649.51