Finding the Third Proportional to 87,272 and 188,468

Step by Step Solution

1. Step 1: Write the proportion equation
   87,272 : 188,468 = 188,468 : x
2. Step 2: Convert to fraction form
   87,272/188,468 = 188,468/x
3. Step 3: Cross multiply
   87,272x = 188,468 × 188,468
4. Step 4: Simplify right side
   87,272x = 35,520,187,024
5. Step 5: Solve for x
   x = 35,520,187,024/87,272
6. Step 6: Final answer
   x = 407,005.53