Finding the Third Proportional to 90,368 and 195,680

Step by Step Solution

1. Step 1: Write the proportion equation
   90,368 : 195,680 = 195,680 : x
2. Step 2: Convert to fraction form
   90,368/195,680 = 195,680/x
3. Step 3: Cross multiply
   90,368x = 195,680 × 195,680
4. Step 4: Simplify right side
   90,368x = 38,290,662,400
5. Step 5: Solve for x
   x = 38,290,662,400/90,368
6. Step 6: Final answer
   x = 423,719.26