Finding the Third Proportional to 70,022 and 149,764

Step by Step Solution

1. Step 1: Write the proportion equation
   70,022 : 149,764 = 149,764 : x
2. Step 2: Convert to fraction form
   70,022/149,764 = 149,764/x
3. Step 3: Cross multiply
   70,022x = 149,764 × 149,764
4. Step 4: Simplify right side
   70,022x = 22,429,255,696
5. Step 5: Solve for x
   x = 22,429,255,696/70,022
6. Step 6: Final answer
   x = 320,317.27