Finding the Third Proportional to 47,882 and 98,140

Step by Step Solution

1. Step 1: Write the proportion equation
   47,882 : 98,140 = 98,140 : x
2. Step 2: Convert to fraction form
   47,882/98,140 = 98,140/x
3. Step 3: Cross multiply
   47,882x = 98,140 × 98,140
4. Step 4: Simplify right side
   47,882x = 9,631,459,600
5. Step 5: Solve for x
   x = 9,631,459,600/47,882
6. Step 6: Final answer
   x = 201,149.90