Finding the Third Proportional to 111,296 and 243,814

Step by Step Solution

1. Step 1: Write the proportion equation
   111,296 : 243,814 = 243,814 : x
2. Step 2: Convert to fraction form
   111,296/243,814 = 243,814/x
3. Step 3: Cross multiply
   111,296x = 243,814 × 243,814
4. Step 4: Simplify right side
   111,296x = 59,445,266,596
5. Step 5: Solve for x
   x = 59,445,266,596/111,296
6. Step 6: Final answer
   x = 534,118.63