Finding the Third Proportional to 51,111.50 and 78,314

Step by Step Solution

1. Step 1: Write the proportion equation
   51,111.50 : 78,314 = 78,314 : x
2. Step 2: Convert to fraction form
   51,111.50/78,314 = 78,314/x
3. Step 3: Cross multiply
   51,111.50x = 78,314 × 78,314
4. Step 4: Simplify right side
   51,111.50x = 6,133,082,596
5. Step 5: Solve for x
   x = 6,133,082,596/51,111.50
6. Step 6: Final answer
   x = 119,994.18