Finding the Third Proportional to 117,720.75 and 257,688

Step by Step Solution

1. Step 1: Write the proportion equation
   117,720.75 : 257,688 = 257,688 : x
2. Step 2: Convert to fraction form
   117,720.75/257,688 = 257,688/x
3. Step 3: Cross multiply
   117,720.75x = 257,688 × 257,688
4. Step 4: Simplify right side
   117,720.75x = 66,403,105,344
5. Step 5: Solve for x
   x = 66,403,105,344/117,720.75
6. Step 6: Final answer
   x = 564,073.07