Finding the Third Proportional to 101,772 and 217,550

Step by Step Solution

1. Step 1: Write the proportion equation
   101,772 : 217,550 = 217,550 : x
2. Step 2: Convert to fraction form
   101,772/217,550 = 217,550/x
3. Step 3: Cross multiply
   101,772x = 217,550 × 217,550
4. Step 4: Simplify right side
   101,772x = 47,328,002,500
5. Step 5: Solve for x
   x = 47,328,002,500/101,772
6. Step 6: Final answer
   x = 465,039.52