Finding the Third Proportional to 89,292 and 196,440

Step by Step Solution

1. Step 1: Write the proportion equation
   89,292 : 196,440 = 196,440 : x
2. Step 2: Convert to fraction form
   89,292/196,440 = 196,440/x
3. Step 3: Cross multiply
   89,292x = 196,440 × 196,440
4. Step 4: Simplify right side
   89,292x = 38,588,673,600
5. Step 5: Solve for x
   x = 38,588,673,600/89,292
6. Step 6: Final answer
   x = 432,162.72