Finding the Third Proportional to 50,680 and 78,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,680 : 78,013.50 = 78,013.50 : x
2. Step 2: Convert to fraction form
   50,680/78,013.50 = 78,013.50/x
3. Step 3: Cross multiply
   50,680x = 78,013.50 × 78,013.50
4. Step 4: Simplify right side
   50,680x = 6,086,106,182.25
5. Step 5: Solve for x
   x = 6,086,106,182.25/50,680
6. Step 6: Final answer
   x = 120,088.91