Finding the Third Proportional to 65,084 and 98,180

Step by Step Solution

1. Step 1: Write the proportion equation
   65,084 : 98,180 = 98,180 : x
2. Step 2: Convert to fraction form
   65,084/98,180 = 98,180/x
3. Step 3: Cross multiply
   65,084x = 98,180 × 98,180
4. Step 4: Simplify right side
   65,084x = 9,639,312,400
5. Step 5: Solve for x
   x = 9,639,312,400/65,084
6. Step 6: Final answer
   x = 148,105.72