Finding the Third Proportional to 119,436.19 and 261,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,436.19 : 261,022.50 = 261,022.50 : x
2. Step 2: Convert to fraction form
   119,436.19/261,022.50 = 261,022.50/x
3. Step 3: Cross multiply
   119,436.19x = 261,022.50 × 261,022.50
4. Step 4: Simplify right side
   119,436.19x = 68,132,745,506.25
5. Step 5: Solve for x
   x = 68,132,745,506.25/119,436.19
6. Step 6: Final answer
   x = 570,453.12