Finding the Third Proportional to 88,884 and 188,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,884 : 188,224.50 = 188,224.50 : x
2. Step 2: Convert to fraction form
   88,884/188,224.50 = 188,224.50/x
3. Step 3: Cross multiply
   88,884x = 188,224.50 × 188,224.50
4. Step 4: Simplify right side
   88,884x = 35,428,462,400.25
5. Step 5: Solve for x
   x = 35,428,462,400.25/88,884
6. Step 6: Final answer
   x = 398,592.12