Finding the Third Proportional to 111,374 and 233,684

Step by Step Solution

1. Step 1: Write the proportion equation
   111,374 : 233,684 = 233,684 : x
2. Step 2: Convert to fraction form
   111,374/233,684 = 233,684/x
3. Step 3: Cross multiply
   111,374x = 233,684 × 233,684
4. Step 4: Simplify right side
   111,374x = 54,608,211,856
5. Step 5: Solve for x
   x = 54,608,211,856/111,374
6. Step 6: Final answer
   x = 490,313.82