Finding the Third Proportional to 120,776.25 and 262,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,776.25 : 262,363.50 = 262,363.50 : x
2. Step 2: Convert to fraction form
   120,776.25/262,363.50 = 262,363.50/x
3. Step 3: Cross multiply
   120,776.25x = 262,363.50 × 262,363.50
4. Step 4: Simplify right side
   120,776.25x = 68,834,606,132.25
5. Step 5: Solve for x
   x = 68,834,606,132.25/120,776.25
6. Step 6: Final answer
   x = 569,934.95