Finding the Third Proportional to 87,654 and 188,448

Step by Step Solution

1. Step 1: Write the proportion equation
   87,654 : 188,448 = 188,448 : x
2. Step 2: Convert to fraction form
   87,654/188,448 = 188,448/x
3. Step 3: Cross multiply
   87,654x = 188,448 × 188,448
4. Step 4: Simplify right side
   87,654x = 35,512,648,704
5. Step 5: Solve for x
   x = 35,512,648,704/87,654
6. Step 6: Final answer
   x = 405,145.79