Finding the Third Proportional to 36,738 and 80,468

Step by Step Solution

1. Step 1: Write the proportion equation
   36,738 : 80,468 = 80,468 : x
2. Step 2: Convert to fraction form
   36,738/80,468 = 80,468/x
3. Step 3: Cross multiply
   36,738x = 80,468 × 80,468
4. Step 4: Simplify right side
   36,738x = 6,475,099,024
5. Step 5: Solve for x
   x = 6,475,099,024/36,738
6. Step 6: Final answer
   x = 176,250.72