Finding the Third Proportional to 115,822.50 and 253,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,822.50 : 253,789.50 = 253,789.50 : x
2. Step 2: Convert to fraction form
   115,822.50/253,789.50 = 253,789.50/x
3. Step 3: Cross multiply
   115,822.50x = 253,789.50 × 253,789.50
4. Step 4: Simplify right side
   115,822.50x = 64,409,110,310.25
5. Step 5: Solve for x
   x = 64,409,110,310.25/115,822.50
6. Step 6: Final answer
   x = 556,101.88