Finding the Third Proportional to 83,498 and 185,002

Step by Step Solution

1. Step 1: Write the proportion equation
   83,498 : 185,002 = 185,002 : x
2. Step 2: Convert to fraction form
   83,498/185,002 = 185,002/x
3. Step 3: Cross multiply
   83,498x = 185,002 × 185,002
4. Step 4: Simplify right side
   83,498x = 34,225,740,004
5. Step 5: Solve for x
   x = 34,225,740,004/83,498
6. Step 6: Final answer
   x = 409,898.92