Finding the Third Proportional to 128,233.50 and 278,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,233.50 : 278,200.50 = 278,200.50 : x
2. Step 2: Convert to fraction form
   128,233.50/278,200.50 = 278,200.50/x
3. Step 3: Cross multiply
   128,233.50x = 278,200.50 × 278,200.50
4. Step 4: Simplify right side
   128,233.50x = 77,395,518,200.25
5. Step 5: Solve for x
   x = 77,395,518,200.25/128,233.50
6. Step 6: Final answer
   x = 603,551.48