Finding the Third Proportional to 88,648 and 191,389

Step by Step Solution

1. Step 1: Write the proportion equation
   88,648 : 191,389 = 191,389 : x
2. Step 2: Convert to fraction form
   88,648/191,389 = 191,389/x
3. Step 3: Cross multiply
   88,648x = 191,389 × 191,389
4. Step 4: Simplify right side
   88,648x = 36,629,749,321
5. Step 5: Solve for x
   x = 36,629,749,321/88,648
6. Step 6: Final answer
   x = 413,204.46