Finding the Third Proportional to 91,810 and 197,012

Step by Step Solution

1. Step 1: Write the proportion equation
   91,810 : 197,012 = 197,012 : x
2. Step 2: Convert to fraction form
   91,810/197,012 = 197,012/x
3. Step 3: Cross multiply
   91,810x = 197,012 × 197,012
4. Step 4: Simplify right side
   91,810x = 38,813,728,144
5. Step 5: Solve for x
   x = 38,813,728,144/91,810
6. Step 6: Final answer
   x = 422,761.44