Finding the Third Proportional to 195,744 and 417,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,744 : 417,109.50 = 417,109.50 : x
2. Step 2: Convert to fraction form
   195,744/417,109.50 = 417,109.50/x
3. Step 3: Cross multiply
   195,744x = 417,109.50 × 417,109.50
4. Step 4: Simplify right side
   195,744x = 173,980,334,990.25
5. Step 5: Solve for x
   x = 173,980,334,990.25/195,744
6. Step 6: Final answer
   x = 888,815.67