Finding the Third Proportional to 188,148 and 288,216

Step by Step Solution

1. Step 1: Write the proportion equation
   188,148 : 288,216 = 288,216 : x
2. Step 2: Convert to fraction form
   188,148/288,216 = 288,216/x
3. Step 3: Cross multiply
   188,148x = 288,216 × 288,216
4. Step 4: Simplify right side
   188,148x = 83,068,462,656
5. Step 5: Solve for x
   x = 83,068,462,656/188,148
6. Step 6: Final answer
   x = 441,505.96