Finding the Third Proportional to 47,570 and 98,020

Step by Step Solution

1. Step 1: Write the proportion equation
   47,570 : 98,020 = 98,020 : x
2. Step 2: Convert to fraction form
   47,570/98,020 = 98,020/x
3. Step 3: Cross multiply
   47,570x = 98,020 × 98,020
4. Step 4: Simplify right side
   47,570x = 9,607,920,400
5. Step 5: Solve for x
   x = 9,607,920,400/47,570
6. Step 6: Final answer
   x = 201,974.36