Finding the Third Proportional to 89,620 and 196,712

Step by Step Solution

1. Step 1: Write the proportion equation
   89,620 : 196,712 = 196,712 : x
2. Step 2: Convert to fraction form
   89,620/196,712 = 196,712/x
3. Step 3: Cross multiply
   89,620x = 196,712 × 196,712
4. Step 4: Simplify right side
   89,620x = 38,695,610,944
5. Step 5: Solve for x
   x = 38,695,610,944/89,620
6. Step 6: Final answer
   x = 431,774.28