Finding the Third Proportional to 47,500 and 101,588

Step by Step Solution

1. Step 1: Write the proportion equation
   47,500 : 101,588 = 101,588 : x
2. Step 2: Convert to fraction form
   47,500/101,588 = 101,588/x
3. Step 3: Cross multiply
   47,500x = 101,588 × 101,588
4. Step 4: Simplify right side
   47,500x = 10,320,121,744
5. Step 5: Solve for x
   x = 10,320,121,744/47,500
6. Step 6: Final answer
   x = 217,265.72