Finding the Third Proportional to 117,735 and 257,337.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,735 : 257,337.75 = 257,337.75 : x
2. Step 2: Convert to fraction form
   117,735/257,337.75 = 257,337.75/x
3. Step 3: Cross multiply
   117,735x = 257,337.75 × 257,337.75
4. Step 4: Simplify right side
   117,735x = 66,222,717,575.06
5. Step 5: Solve for x
   x = 66,222,717,575.06/117,735
6. Step 6: Final answer
   x = 562,472.65