Finding the Third Proportional to 109,384 and 237,704

Step by Step Solution

1. Step 1: Write the proportion equation
   109,384 : 237,704 = 237,704 : x
2. Step 2: Convert to fraction form
   109,384/237,704 = 237,704/x
3. Step 3: Cross multiply
   109,384x = 237,704 × 237,704
4. Step 4: Simplify right side
   109,384x = 56,503,191,616
5. Step 5: Solve for x
   x = 56,503,191,616/109,384
6. Step 6: Final answer
   x = 516,558.10