Finding the Third Proportional to 51,306 and 77,109

Step by Step Solution

1. Step 1: Write the proportion equation
   51,306 : 77,109 = 77,109 : x
2. Step 2: Convert to fraction form
   51,306/77,109 = 77,109/x
3. Step 3: Cross multiply
   51,306x = 77,109 × 77,109
4. Step 4: Simplify right side
   51,306x = 5,945,797,881
5. Step 5: Solve for x
   x = 5,945,797,881/51,306
6. Step 6: Final answer
   x = 115,888.94