Finding the Third Proportional to 89,440 and 196,160

Step by Step Solution

1. Step 1: Write the proportion equation
   89,440 : 196,160 = 196,160 : x
2. Step 2: Convert to fraction form
   89,440/196,160 = 196,160/x
3. Step 3: Cross multiply
   89,440x = 196,160 × 196,160
4. Step 4: Simplify right side
   89,440x = 38,478,745,600
5. Step 5: Solve for x
   x = 38,478,745,600/89,440
6. Step 6: Final answer
   x = 430,218.53