Finding the Third Proportional to 202,365 and 296,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,365 : 296,986.50 = 296,986.50 : x
2. Step 2: Convert to fraction form
   202,365/296,986.50 = 296,986.50/x
3. Step 3: Cross multiply
   202,365x = 296,986.50 × 296,986.50
4. Step 4: Simplify right side
   202,365x = 88,200,981,182.25
5. Step 5: Solve for x
   x = 88,200,981,182.25/202,365
6. Step 6: Final answer
   x = 435,850.97