Finding the Third Proportional to 120,635.25 and 257,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,635.25 : 257,833.50 = 257,833.50 : x
2. Step 2: Convert to fraction form
   120,635.25/257,833.50 = 257,833.50/x
3. Step 3: Cross multiply
   120,635.25x = 257,833.50 × 257,833.50
4. Step 4: Simplify right side
   120,635.25x = 66,478,113,722.25
5. Step 5: Solve for x
   x = 66,478,113,722.25/120,635.25
6. Step 6: Final answer
   x = 551,067.07