Finding the Third Proportional to 47,714 and 101,572

Step by Step Solution

1. Step 1: Write the proportion equation
   47,714 : 101,572 = 101,572 : x
2. Step 2: Convert to fraction form
   47,714/101,572 = 101,572/x
3. Step 3: Cross multiply
   47,714x = 101,572 × 101,572
4. Step 4: Simplify right side
   47,714x = 10,316,871,184
5. Step 5: Solve for x
   x = 10,316,871,184/47,714
6. Step 6: Final answer
   x = 216,223.15