Finding the Third Proportional to 120,405.50 and 187,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,405.50 : 187,502.50 = 187,502.50 : x
2. Step 2: Convert to fraction form
   120,405.50/187,502.50 = 187,502.50/x
3. Step 3: Cross multiply
   120,405.50x = 187,502.50 × 187,502.50
4. Step 4: Simplify right side
   120,405.50x = 35,157,187,506.25
5. Step 5: Solve for x
   x = 35,157,187,506.25/120,405.50
6. Step 6: Final answer
   x = 291,989.88