Finding the Third Proportional to 42,192 and 85,596

Step by Step Solution

1. Step 1: Write the proportion equation
   42,192 : 85,596 = 85,596 : x
2. Step 2: Convert to fraction form
   42,192/85,596 = 85,596/x
3. Step 3: Cross multiply
   42,192x = 85,596 × 85,596
4. Step 4: Simplify right side
   42,192x = 7,326,675,216
5. Step 5: Solve for x
   x = 7,326,675,216/42,192
6. Step 6: Final answer
   x = 173,650.82