Finding the Third Proportional to 89,396 and 189,160

Step by Step Solution

1. Step 1: Write the proportion equation
   89,396 : 189,160 = 189,160 : x
2. Step 2: Convert to fraction form
   89,396/189,160 = 189,160/x
3. Step 3: Cross multiply
   89,396x = 189,160 × 189,160
4. Step 4: Simplify right side
   89,396x = 35,781,505,600
5. Step 5: Solve for x
   x = 35,781,505,600/89,396
6. Step 6: Final answer
   x = 400,258.46