Finding the Third Proportional to 110,782.50 and 228,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,782.50 : 228,097.50 = 228,097.50 : x
2. Step 2: Convert to fraction form
   110,782.50/228,097.50 = 228,097.50/x
3. Step 3: Cross multiply
   110,782.50x = 228,097.50 × 228,097.50
4. Step 4: Simplify right side
   110,782.50x = 52,028,469,506.25
5. Step 5: Solve for x
   x = 52,028,469,506.25/110,782.50
6. Step 6: Final answer
   x = 469,645.20