Finding the Third Proportional to 158,552 and 217,410

Step by Step Solution

1. Step 1: Write the proportion equation
   158,552 : 217,410 = 217,410 : x
2. Step 2: Convert to fraction form
   158,552/217,410 = 217,410/x
3. Step 3: Cross multiply
   158,552x = 217,410 × 217,410
4. Step 4: Simplify right side
   158,552x = 47,267,108,100
5. Step 5: Solve for x
   x = 47,267,108,100/158,552
6. Step 6: Final answer
   x = 298,117.39