Finding the Third Proportional to 85,092 and 182,820

Step by Step Solution

1. Step 1: Write the proportion equation
   85,092 : 182,820 = 182,820 : x
2. Step 2: Convert to fraction form
   85,092/182,820 = 182,820/x
3. Step 3: Cross multiply
   85,092x = 182,820 × 182,820
4. Step 4: Simplify right side
   85,092x = 33,423,152,400
5. Step 5: Solve for x
   x = 33,423,152,400/85,092
6. Step 6: Final answer
   x = 392,788.42