Finding the Third Proportional to 88,300 and 192,464

Step by Step Solution

1. Step 1: Write the proportion equation
   88,300 : 192,464 = 192,464 : x
2. Step 2: Convert to fraction form
   88,300/192,464 = 192,464/x
3. Step 3: Cross multiply
   88,300x = 192,464 × 192,464
4. Step 4: Simplify right side
   88,300x = 37,042,391,296
5. Step 5: Solve for x
   x = 37,042,391,296/88,300
6. Step 6: Final answer
   x = 419,506.13