Finding the Third Proportional to 87,224 and 188,264

Step by Step Solution

1. Step 1: Write the proportion equation
   87,224 : 188,264 = 188,264 : x
2. Step 2: Convert to fraction form
   87,224/188,264 = 188,264/x
3. Step 3: Cross multiply
   87,224x = 188,264 × 188,264
4. Step 4: Simplify right side
   87,224x = 35,443,333,696
5. Step 5: Solve for x
   x = 35,443,333,696/87,224
6. Step 6: Final answer
   x = 406,348.41