Finding the Third Proportional to 47,128 and 102,550

Step by Step Solution

1. Step 1: Write the proportion equation
   47,128 : 102,550 = 102,550 : x
2. Step 2: Convert to fraction form
   47,128/102,550 = 102,550/x
3. Step 3: Cross multiply
   47,128x = 102,550 × 102,550
4. Step 4: Simplify right side
   47,128x = 10,516,502,500
5. Step 5: Solve for x
   x = 10,516,502,500/47,128
6. Step 6: Final answer
   x = 223,147.65