Finding the Third Proportional to 92,022 and 195,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,022 : 195,166.50 = 195,166.50 : x
2. Step 2: Convert to fraction form
   92,022/195,166.50 = 195,166.50/x
3. Step 3: Cross multiply
   92,022x = 195,166.50 × 195,166.50
4. Step 4: Simplify right side
   92,022x = 38,089,962,722.25
5. Step 5: Solve for x
   x = 38,089,962,722.25/92,022
6. Step 6: Final answer
   x = 413,922.35