Finding the Third Proportional to 89,160 and 195,816

Step by Step Solution

1. Step 1: Write the proportion equation
   89,160 : 195,816 = 195,816 : x
2. Step 2: Convert to fraction form
   89,160/195,816 = 195,816/x
3. Step 3: Cross multiply
   89,160x = 195,816 × 195,816
4. Step 4: Simplify right side
   89,160x = 38,343,905,856
5. Step 5: Solve for x
   x = 38,343,905,856/89,160
6. Step 6: Final answer
   x = 430,057.27