Finding the Third Proportional to 89,902 and 196,412

Step by Step Solution

1. Step 1: Write the proportion equation
   89,902 : 196,412 = 196,412 : x
2. Step 2: Convert to fraction form
   89,902/196,412 = 196,412/x
3. Step 3: Cross multiply
   89,902x = 196,412 × 196,412
4. Step 4: Simplify right side
   89,902x = 38,577,673,744
5. Step 5: Solve for x
   x = 38,577,673,744/89,902
6. Step 6: Final answer
   x = 429,108.07