Finding the Third Proportional to 120,418.50 and 187,523.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,418.50 : 187,523.25 = 187,523.25 : x
2. Step 2: Convert to fraction form
   120,418.50/187,523.25 = 187,523.25/x
3. Step 3: Cross multiply
   120,418.50x = 187,523.25 × 187,523.25
4. Step 4: Simplify right side
   120,418.50x = 35,164,969,290.56
5. Step 5: Solve for x
   x = 35,164,969,290.56/120,418.50
6. Step 6: Final answer
   x = 292,022.98