Finding the Third Proportional to 85,542 and 186,612

Step by Step Solution

1. Step 1: Write the proportion equation
   85,542 : 186,612 = 186,612 : x
2. Step 2: Convert to fraction form
   85,542/186,612 = 186,612/x
3. Step 3: Cross multiply
   85,542x = 186,612 × 186,612
4. Step 4: Simplify right side
   85,542x = 34,824,038,544
5. Step 5: Solve for x
   x = 34,824,038,544/85,542
6. Step 6: Final answer
   x = 407,098.72