Finding the Third Proportional to 120,969 and 187,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,969 : 187,690.50 = 187,690.50 : x
2. Step 2: Convert to fraction form
   120,969/187,690.50 = 187,690.50/x
3. Step 3: Cross multiply
   120,969x = 187,690.50 × 187,690.50
4. Step 4: Simplify right side
   120,969x = 35,227,723,790.25
5. Step 5: Solve for x
   x = 35,227,723,790.25/120,969
6. Step 6: Final answer
   x = 291,212.82