Finding the Third Proportional to 65,478 and 98,766

Step by Step Solution

1. Step 1: Write the proportion equation
   65,478 : 98,766 = 98,766 : x
2. Step 2: Convert to fraction form
   65,478/98,766 = 98,766/x
3. Step 3: Cross multiply
   65,478x = 98,766 × 98,766
4. Step 4: Simplify right side
   65,478x = 9,754,722,756
5. Step 5: Solve for x
   x = 9,754,722,756/65,478
6. Step 6: Final answer
   x = 148,977.10