Finding the Third Proportional to 115,823.25 and 253,789.88

Step by Step Solution

1. Step 1: Write the proportion equation
   115,823.25 : 253,789.88 = 253,789.88 : x
2. Step 2: Convert to fraction form
   115,823.25/253,789.88 = 253,789.88/x
3. Step 3: Cross multiply
   115,823.25x = 253,789.88 × 253,789.88
4. Step 4: Simplify right side
   115,823.25x = 64,409,300,652.52
5. Step 5: Solve for x
   x = 64,409,300,652.52/115,823.25
6. Step 6: Final answer
   x = 556,099.93