Finding the Third Proportional to 109,084 and 237,876

Step by Step Solution

1. Step 1: Write the proportion equation
   109,084 : 237,876 = 237,876 : x
2. Step 2: Convert to fraction form
   109,084/237,876 = 237,876/x
3. Step 3: Cross multiply
   109,084x = 237,876 × 237,876
4. Step 4: Simplify right side
   109,084x = 56,584,991,376
5. Step 5: Solve for x
   x = 56,584,991,376/109,084
6. Step 6: Final answer
   x = 518,728.61