Finding the Third Proportional to 51,817 and 78,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,817 : 78,738.50 = 78,738.50 : x
2. Step 2: Convert to fraction form
   51,817/78,738.50 = 78,738.50/x
3. Step 3: Cross multiply
   51,817x = 78,738.50 × 78,738.50
4. Step 4: Simplify right side
   51,817x = 6,199,751,382.25
5. Step 5: Solve for x
   x = 6,199,751,382.25/51,817
6. Step 6: Final answer
   x = 119,647.05