Finding the Third Proportional to 80,962 and 191,570

Step by Step Solution

1. Step 1: Write the proportion equation
   80,962 : 191,570 = 191,570 : x
2. Step 2: Convert to fraction form
   80,962/191,570 = 191,570/x
3. Step 3: Cross multiply
   80,962x = 191,570 × 191,570
4. Step 4: Simplify right side
   80,962x = 36,699,064,900
5. Step 5: Solve for x
   x = 36,699,064,900/80,962
6. Step 6: Final answer
   x = 453,287.53