Finding the Third Proportional to 195,969 and 286,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,969 : 286,391.50 = 286,391.50 : x
2. Step 2: Convert to fraction form
   195,969/286,391.50 = 286,391.50/x
3. Step 3: Cross multiply
   195,969x = 286,391.50 × 286,391.50
4. Step 4: Simplify right side
   195,969x = 82,020,091,272.25
5. Step 5: Solve for x
   x = 82,020,091,272.25/195,969
6. Step 6: Final answer
   x = 418,536.05