Finding the Third Proportional to 83,922 and 128,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,922 : 128,074.50 = 128,074.50 : x
2. Step 2: Convert to fraction form
   83,922/128,074.50 = 128,074.50/x
3. Step 3: Cross multiply
   83,922x = 128,074.50 × 128,074.50
4. Step 4: Simplify right side
   83,922x = 16,403,077,550.25
5. Step 5: Solve for x
   x = 16,403,077,550.25/83,922
6. Step 6: Final answer
   x = 195,456.23