Finding the Third Proportional to 121,825.50 and 188,277

Step by Step Solution

1. Step 1: Write the proportion equation
   121,825.50 : 188,277 = 188,277 : x
2. Step 2: Convert to fraction form
   121,825.50/188,277 = 188,277/x
3. Step 3: Cross multiply
   121,825.50x = 188,277 × 188,277
4. Step 4: Simplify right side
   121,825.50x = 35,448,228,729
5. Step 5: Solve for x
   x = 35,448,228,729/121,825.50
6. Step 6: Final answer
   x = 290,975.44