Finding the Third Proportional to 205,142.63 and 310,554

Step by Step Solution

1. Step 1: Write the proportion equation
   205,142.63 : 310,554 = 310,554 : x
2. Step 2: Convert to fraction form
   205,142.63/310,554 = 310,554/x
3. Step 3: Cross multiply
   205,142.63x = 310,554 × 310,554
4. Step 4: Simplify right side
   205,142.63x = 96,443,786,916
5. Step 5: Solve for x
   x = 96,443,786,916/205,142.63
6. Step 6: Final answer
   x = 470,130.41