Finding the Third Proportional to 205,987.50 and 318,783

Step by Step Solution

1. Step 1: Write the proportion equation
   205,987.50 : 318,783 = 318,783 : x
2. Step 2: Convert to fraction form
   205,987.50/318,783 = 318,783/x
3. Step 3: Cross multiply
   205,987.50x = 318,783 × 318,783
4. Step 4: Simplify right side
   205,987.50x = 101,622,601,089
5. Step 5: Solve for x
   x = 101,622,601,089/205,987.50
6. Step 6: Final answer
   x = 493,343.53