Finding the Third Proportional to 89,640 and 195,584

Step by Step Solution

1. Step 1: Write the proportion equation
   89,640 : 195,584 = 195,584 : x
2. Step 2: Convert to fraction form
   89,640/195,584 = 195,584/x
3. Step 3: Cross multiply
   89,640x = 195,584 × 195,584
4. Step 4: Simplify right side
   89,640x = 38,253,101,056
5. Step 5: Solve for x
   x = 38,253,101,056/89,640
6. Step 6: Final answer
   x = 426,741.42