Finding the Third Proportional to 83,512 and 185,028

Step by Step Solution

1. Step 1: Write the proportion equation
   83,512 : 185,028 = 185,028 : x
2. Step 2: Convert to fraction form
   83,512/185,028 = 185,028/x
3. Step 3: Cross multiply
   83,512x = 185,028 × 185,028
4. Step 4: Simplify right side
   83,512x = 34,235,360,784
5. Step 5: Solve for x
   x = 34,235,360,784/83,512
6. Step 6: Final answer
   x = 409,945.41