Finding the Third Proportional to 83,474 and 185,612

Step by Step Solution

1. Step 1: Write the proportion equation
   83,474 : 185,612 = 185,612 : x
2. Step 2: Convert to fraction form
   83,474/185,612 = 185,612/x
3. Step 3: Cross multiply
   83,474x = 185,612 × 185,612
4. Step 4: Simplify right side
   83,474x = 34,451,814,544
5. Step 5: Solve for x
   x = 34,451,814,544/83,474
6. Step 6: Final answer
   x = 412,725.09