Finding the Third Proportional to 37,779 and 78,288

Step by Step Solution

1. Step 1: Write the proportion equation
   37,779 : 78,288 = 78,288 : x
2. Step 2: Convert to fraction form
   37,779/78,288 = 78,288/x
3. Step 3: Cross multiply
   37,779x = 78,288 × 78,288
4. Step 4: Simplify right side
   37,779x = 6,129,010,944
5. Step 5: Solve for x
   x = 6,129,010,944/37,779
6. Step 6: Final answer
   x = 162,233.28