Finding the Third Proportional to 83,900 and 186,448

Step by Step Solution

1. Step 1: Write the proportion equation
   83,900 : 186,448 = 186,448 : x
2. Step 2: Convert to fraction form
   83,900/186,448 = 186,448/x
3. Step 3: Cross multiply
   83,900x = 186,448 × 186,448
4. Step 4: Simplify right side
   83,900x = 34,762,856,704
5. Step 5: Solve for x
   x = 34,762,856,704/83,900
6. Step 6: Final answer
   x = 414,336.79