Finding the Third Proportional to 141,574.50 and 288,114.75

Step by Step Solution

1. Step 1: Write the proportion equation
   141,574.50 : 288,114.75 = 288,114.75 : x
2. Step 2: Convert to fraction form
   141,574.50/288,114.75 = 288,114.75/x
3. Step 3: Cross multiply
   141,574.50x = 288,114.75 × 288,114.75
4. Step 4: Simplify right side
   141,574.50x = 83,010,109,167.56
5. Step 5: Solve for x
   x = 83,010,109,167.56/141,574.50
6. Step 6: Final answer
   x = 586,335.17