Finding the Third Proportional to 47,748 and 100,725

Step by Step Solution

1. Step 1: Write the proportion equation
   47,748 : 100,725 = 100,725 : x
2. Step 2: Convert to fraction form
   47,748/100,725 = 100,725/x
3. Step 3: Cross multiply
   47,748x = 100,725 × 100,725
4. Step 4: Simplify right side
   47,748x = 10,145,525,625
5. Step 5: Solve for x
   x = 10,145,525,625/47,748
6. Step 6: Final answer
   x = 212,480.64