Finding the Third Proportional to 50,994 and 78,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,994 : 78,763.50 = 78,763.50 : x
2. Step 2: Convert to fraction form
   50,994/78,763.50 = 78,763.50/x
3. Step 3: Cross multiply
   50,994x = 78,763.50 × 78,763.50
4. Step 4: Simplify right side
   50,994x = 6,203,688,932.25
5. Step 5: Solve for x
   x = 6,203,688,932.25/50,994
6. Step 6: Final answer
   x = 121,655.27