Finding the Third Proportional to 120,780 and 262,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,780 : 262,336.50 = 262,336.50 : x
2. Step 2: Convert to fraction form
   120,780/262,336.50 = 262,336.50/x
3. Step 3: Cross multiply
   120,780x = 262,336.50 × 262,336.50
4. Step 4: Simplify right side
   120,780x = 68,820,439,232.25
5. Step 5: Solve for x
   x = 68,820,439,232.25/120,780
6. Step 6: Final answer
   x = 569,799.96