Finding the Third Proportional to 85,404 and 182,632

Step by Step Solution

1. Step 1: Write the proportion equation
   85,404 : 182,632 = 182,632 : x
2. Step 2: Convert to fraction form
   85,404/182,632 = 182,632/x
3. Step 3: Cross multiply
   85,404x = 182,632 × 182,632
4. Step 4: Simplify right side
   85,404x = 33,354,447,424
5. Step 5: Solve for x
   x = 33,354,447,424/85,404
6. Step 6: Final answer
   x = 390,549.01