Finding the Third Proportional to 111,426 and 168,084

Step by Step Solution

1. Step 1: Write the proportion equation
   111,426 : 168,084 = 168,084 : x
2. Step 2: Convert to fraction form
   111,426/168,084 = 168,084/x
3. Step 3: Cross multiply
   111,426x = 168,084 × 168,084
4. Step 4: Simplify right side
   111,426x = 28,252,231,056
5. Step 5: Solve for x
   x = 28,252,231,056/111,426
6. Step 6: Final answer
   x = 253,551.51