Finding the Third Proportional to 47,570 and 102,500

Step by Step Solution

1. Step 1: Write the proportion equation
   47,570 : 102,500 = 102,500 : x
2. Step 2: Convert to fraction form
   47,570/102,500 = 102,500/x
3. Step 3: Cross multiply
   47,570x = 102,500 × 102,500
4. Step 4: Simplify right side
   47,570x = 10,506,250,000
5. Step 5: Solve for x
   x = 10,506,250,000/47,570
6. Step 6: Final answer
   x = 220,858.73