Finding the Third Proportional to 144,132 and 231,585

Step by Step Solution

1. Step 1: Write the proportion equation
   144,132 : 231,585 = 231,585 : x
2. Step 2: Convert to fraction form
   144,132/231,585 = 231,585/x
3. Step 3: Cross multiply
   144,132x = 231,585 × 231,585
4. Step 4: Simplify right side
   144,132x = 53,631,612,225
5. Step 5: Solve for x
   x = 53,631,612,225/144,132
6. Step 6: Final answer
   x = 372,100.66