Finding the Third Proportional to 119,208 and 260,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,208 : 260,560.50 = 260,560.50 : x
2. Step 2: Convert to fraction form
   119,208/260,560.50 = 260,560.50/x
3. Step 3: Cross multiply
   119,208x = 260,560.50 × 260,560.50
4. Step 4: Simplify right side
   119,208x = 67,891,774,160.25
5. Step 5: Solve for x
   x = 67,891,774,160.25/119,208
6. Step 6: Final answer
   x = 569,523.64