Finding the Third Proportional to 109,271 and 237,770

Step by Step Solution

1. Step 1: Write the proportion equation
   109,271 : 237,770 = 237,770 : x
2. Step 2: Convert to fraction form
   109,271/237,770 = 237,770/x
3. Step 3: Cross multiply
   109,271x = 237,770 × 237,770
4. Step 4: Simplify right side
   109,271x = 56,534,572,900
5. Step 5: Solve for x
   x = 56,534,572,900/109,271
6. Step 6: Final answer
   x = 517,379.48