Finding the Third Proportional to 119,719.50 and 261,876

Step by Step Solution

1. Step 1: Write the proportion equation
   119,719.50 : 261,876 = 261,876 : x
2. Step 2: Convert to fraction form
   119,719.50/261,876 = 261,876/x
3. Step 3: Cross multiply
   119,719.50x = 261,876 × 261,876
4. Step 4: Simplify right side
   119,719.50x = 68,579,039,376
5. Step 5: Solve for x
   x = 68,579,039,376/119,719.50
6. Step 6: Final answer
   x = 572,830.99