Finding the Third Proportional to 121,369 and 188,443

Step by Step Solution

1. Step 1: Write the proportion equation
   121,369 : 188,443 = 188,443 : x
2. Step 2: Convert to fraction form
   121,369/188,443 = 188,443/x
3. Step 3: Cross multiply
   121,369x = 188,443 × 188,443
4. Step 4: Simplify right side
   121,369x = 35,510,764,249
5. Step 5: Solve for x
   x = 35,510,764,249/121,369
6. Step 6: Final answer
   x = 292,585.13