Finding the Third Proportional to 40,789 and 83,774

Step by Step Solution

1. Step 1: Write the proportion equation
   40,789 : 83,774 = 83,774 : x
2. Step 2: Convert to fraction form
   40,789/83,774 = 83,774/x
3. Step 3: Cross multiply
   40,789x = 83,774 × 83,774
4. Step 4: Simplify right side
   40,789x = 7,018,083,076
5. Step 5: Solve for x
   x = 7,018,083,076/40,789
6. Step 6: Final answer
   x = 172,058.23