Finding the Third Proportional to 109,692 and 237,978

Step by Step Solution

1. Step 1: Write the proportion equation
   109,692 : 237,978 = 237,978 : x
2. Step 2: Convert to fraction form
   109,692/237,978 = 237,978/x
3. Step 3: Cross multiply
   109,692x = 237,978 × 237,978
4. Step 4: Simplify right side
   109,692x = 56,633,528,484
5. Step 5: Solve for x
   x = 56,633,528,484/109,692
6. Step 6: Final answer
   x = 516,295.89