Finding the Third Proportional to 231,691.50 and 541,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,691.50 : 541,297.50 = 541,297.50 : x
2. Step 2: Convert to fraction form
   231,691.50/541,297.50 = 541,297.50/x
3. Step 3: Cross multiply
   231,691.50x = 541,297.50 × 541,297.50
4. Step 4: Simplify right side
   231,691.50x = 293,002,983,506.25
5. Step 5: Solve for x
   x = 293,002,983,506.25/231,691.50
6. Step 6: Final answer
   x = 1,264,625.52