Finding the Third Proportional to 174,658.50 and 263,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,658.50 : 263,005.50 = 263,005.50 : x
2. Step 2: Convert to fraction form
   174,658.50/263,005.50 = 263,005.50/x
3. Step 3: Cross multiply
   174,658.50x = 263,005.50 × 263,005.50
4. Step 4: Simplify right side
   174,658.50x = 69,171,893,030.25
5. Step 5: Solve for x
   x = 69,171,893,030.25/174,658.50
6. Step 6: Final answer
   x = 396,040.81