Finding the Third Proportional to 120,715.75 and 191,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,715.75 : 191,105.25 = 191,105.25 : x
2. Step 2: Convert to fraction form
   120,715.75/191,105.25 = 191,105.25/x
3. Step 3: Cross multiply
   120,715.75x = 191,105.25 × 191,105.25
4. Step 4: Simplify right side
   120,715.75x = 36,521,216,577.56
5. Step 5: Solve for x
   x = 36,521,216,577.56/120,715.75
6. Step 6: Final answer
   x = 302,538.95