Finding the Third Proportional to 51,277 and 78,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,277 : 78,535.50 = 78,535.50 : x
2. Step 2: Convert to fraction form
   51,277/78,535.50 = 78,535.50/x
3. Step 3: Cross multiply
   51,277x = 78,535.50 × 78,535.50
4. Step 4: Simplify right side
   51,277x = 6,167,824,760.25
5. Step 5: Solve for x
   x = 6,167,824,760.25/51,277
6. Step 6: Final answer
   x = 120,284.43