Finding the Third Proportional to 90,436 and 192,536

Step by Step Solution

1. Step 1: Write the proportion equation
   90,436 : 192,536 = 192,536 : x
2. Step 2: Convert to fraction form
   90,436/192,536 = 192,536/x
3. Step 3: Cross multiply
   90,436x = 192,536 × 192,536
4. Step 4: Simplify right side
   90,436x = 37,070,111,296
5. Step 5: Solve for x
   x = 37,070,111,296/90,436
6. Step 6: Final answer
   x = 409,904.37