Finding the Third Proportional to 88,636 and 192,820

Step by Step Solution

1. Step 1: Write the proportion equation
   88,636 : 192,820 = 192,820 : x
2. Step 2: Convert to fraction form
   88,636/192,820 = 192,820/x
3. Step 3: Cross multiply
   88,636x = 192,820 × 192,820
4. Step 4: Simplify right side
   88,636x = 37,179,552,400
5. Step 5: Solve for x
   x = 37,179,552,400/88,636
6. Step 6: Final answer
   x = 419,463.34