Finding the Third Proportional to 202,298 and 442,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,298 : 442,693.50 = 442,693.50 : x
2. Step 2: Convert to fraction form
   202,298/442,693.50 = 442,693.50/x
3. Step 3: Cross multiply
   202,298x = 442,693.50 × 442,693.50
4. Step 4: Simplify right side
   202,298x = 195,977,534,942.25
5. Step 5: Solve for x
   x = 195,977,534,942.25/202,298
6. Step 6: Final answer
   x = 968,756.66