Finding the Third Proportional to 120,738 and 262,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,738 : 262,219.50 = 262,219.50 : x
2. Step 2: Convert to fraction form
   120,738/262,219.50 = 262,219.50/x
3. Step 3: Cross multiply
   120,738x = 262,219.50 × 262,219.50
4. Step 4: Simplify right side
   120,738x = 68,759,066,180.25
5. Step 5: Solve for x
   x = 68,759,066,180.25/120,738
6. Step 6: Final answer
   x = 569,489.86