Finding the Third Proportional to 47,748 and 101,188

Step by Step Solution

1. Step 1: Write the proportion equation
   47,748 : 101,188 = 101,188 : x
2. Step 2: Convert to fraction form
   47,748/101,188 = 101,188/x
3. Step 3: Cross multiply
   47,748x = 101,188 × 101,188
4. Step 4: Simplify right side
   47,748x = 10,239,011,344
5. Step 5: Solve for x
   x = 10,239,011,344/47,748
6. Step 6: Final answer
   x = 214,438.54