Finding the Third Proportional to 117,555 and 257,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,555 : 257,643.75 = 257,643.75 : x
2. Step 2: Convert to fraction form
   117,555/257,643.75 = 257,643.75/x
3. Step 3: Cross multiply
   117,555x = 257,643.75 × 257,643.75
4. Step 4: Simplify right side
   117,555x = 66,380,301,914.06
5. Step 5: Solve for x
   x = 66,380,301,914.06/117,555
6. Step 6: Final answer
   x = 564,674.42