Finding the Third Proportional to 51,814.50 and 78,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,814.50 : 78,735.50 = 78,735.50 : x
2. Step 2: Convert to fraction form
   51,814.50/78,735.50 = 78,735.50/x
3. Step 3: Cross multiply
   51,814.50x = 78,735.50 × 78,735.50
4. Step 4: Simplify right side
   51,814.50x = 6,199,278,960.25
5. Step 5: Solve for x
   x = 6,199,278,960.25/51,814.50
6. Step 6: Final answer
   x = 119,643.71