Finding the Third Proportional to 89,262 and 196,704

Step by Step Solution

1. Step 1: Write the proportion equation
   89,262 : 196,704 = 196,704 : x
2. Step 2: Convert to fraction form
   89,262/196,704 = 196,704/x
3. Step 3: Cross multiply
   89,262x = 196,704 × 196,704
4. Step 4: Simplify right side
   89,262x = 38,692,463,616
5. Step 5: Solve for x
   x = 38,692,463,616/89,262
6. Step 6: Final answer
   x = 433,470.72