Finding the Third Proportional to 120,778.50 and 262,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,778.50 : 262,367.50 = 262,367.50 : x
2. Step 2: Convert to fraction form
   120,778.50/262,367.50 = 262,367.50/x
3. Step 3: Cross multiply
   120,778.50x = 262,367.50 × 262,367.50
4. Step 4: Simplify right side
   120,778.50x = 68,836,705,056.25
5. Step 5: Solve for x
   x = 68,836,705,056.25/120,778.50
6. Step 6: Final answer
   x = 569,941.71