Finding the Third Proportional to 120,309 and 187,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,309 : 187,114.50 = 187,114.50 : x
2. Step 2: Convert to fraction form
   120,309/187,114.50 = 187,114.50/x
3. Step 3: Cross multiply
   120,309x = 187,114.50 × 187,114.50
4. Step 4: Simplify right side
   120,309x = 35,011,836,110.25
5. Step 5: Solve for x
   x = 35,011,836,110.25/120,309
6. Step 6: Final answer
   x = 291,015.93