Finding the Third Proportional to 52,109 and 80,738

Step by Step Solution

1. Step 1: Write the proportion equation
   52,109 : 80,738 = 80,738 : x
2. Step 2: Convert to fraction form
   52,109/80,738 = 80,738/x
3. Step 3: Cross multiply
   52,109x = 80,738 × 80,738
4. Step 4: Simplify right side
   52,109x = 6,518,624,644
5. Step 5: Solve for x
   x = 6,518,624,644/52,109
6. Step 6: Final answer
   x = 125,095.95