Finding the Third Proportional to 111,665 and 243,406

Step by Step Solution

1. Step 1: Write the proportion equation
   111,665 : 243,406 = 243,406 : x
2. Step 2: Convert to fraction form
   111,665/243,406 = 243,406/x
3. Step 3: Cross multiply
   111,665x = 243,406 × 243,406
4. Step 4: Simplify right side
   111,665x = 59,246,480,836
5. Step 5: Solve for x
   x = 59,246,480,836/111,665
6. Step 6: Final answer
   x = 530,573.42