Finding the Third Proportional to 123,525 and 269,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,525 : 269,638.50 = 269,638.50 : x
2. Step 2: Convert to fraction form
   123,525/269,638.50 = 269,638.50/x
3. Step 3: Cross multiply
   123,525x = 269,638.50 × 269,638.50
4. Step 4: Simplify right side
   123,525x = 72,704,920,682.25
5. Step 5: Solve for x
   x = 72,704,920,682.25/123,525
6. Step 6: Final answer
   x = 588,584.66