Finding the Third Proportional to 121,363.50 and 188,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,363.50 : 188,434.50 = 188,434.50 : x
2. Step 2: Convert to fraction form
   121,363.50/188,434.50 = 188,434.50/x
3. Step 3: Cross multiply
   121,363.50x = 188,434.50 × 188,434.50
4. Step 4: Simplify right side
   121,363.50x = 35,507,560,790.25
5. Step 5: Solve for x
   x = 35,507,560,790.25/121,363.50
6. Step 6: Final answer
   x = 292,571.99