Finding the Third Proportional to 92,640 and 195,488

Step by Step Solution

1. Step 1: Write the proportion equation
   92,640 : 195,488 = 195,488 : x
2. Step 2: Convert to fraction form
   92,640/195,488 = 195,488/x
3. Step 3: Cross multiply
   92,640x = 195,488 × 195,488
4. Step 4: Simplify right side
   92,640x = 38,215,558,144
5. Step 5: Solve for x
   x = 38,215,558,144/92,640
6. Step 6: Final answer
   x = 412,516.82