Finding the Third Proportional to 51,994.50 and 78,456.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,994.50 : 78,456.75 = 78,456.75 : x
2. Step 2: Convert to fraction form
   51,994.50/78,456.75 = 78,456.75/x
3. Step 3: Cross multiply
   51,994.50x = 78,456.75 × 78,456.75
4. Step 4: Simplify right side
   51,994.50x = 6,155,461,620.56
5. Step 5: Solve for x
   x = 6,155,461,620.56/51,994.50
6. Step 6: Final answer
   x = 118,386.78