Finding the Third Proportional to 235,978.50 and 513,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,978.50 : 513,424.50 = 513,424.50 : x
2. Step 2: Convert to fraction form
   235,978.50/513,424.50 = 513,424.50/x
3. Step 3: Cross multiply
   235,978.50x = 513,424.50 × 513,424.50
4. Step 4: Simplify right side
   235,978.50x = 263,604,717,200.25
5. Step 5: Solve for x
   x = 263,604,717,200.25/235,978.50
6. Step 6: Final answer
   x = 1,117,070.91