Finding the Third Proportional to 117,783.50 and 257,568

Step by Step Solution

1. Step 1: Write the proportion equation
   117,783.50 : 257,568 = 257,568 : x
2. Step 2: Convert to fraction form
   117,783.50/257,568 = 257,568/x
3. Step 3: Cross multiply
   117,783.50x = 257,568 × 257,568
4. Step 4: Simplify right side
   117,783.50x = 66,341,274,624
5. Step 5: Solve for x
   x = 66,341,274,624/117,783.50
6. Step 6: Final answer
   x = 563,247.61