Finding the Third Proportional to 202,851 and 298,535.63

Step by Step Solution

1. Step 1: Write the proportion equation
   202,851 : 298,535.63 = 298,535.63 : x
2. Step 2: Convert to fraction form
   202,851/298,535.63 = 298,535.63/x
3. Step 3: Cross multiply
   202,851x = 298,535.63 × 298,535.63
4. Step 4: Simplify right side
   202,851x = 89,123,519,394.14
5. Step 5: Solve for x
   x = 89,123,519,394.14/202,851
6. Step 6: Final answer
   x = 439,354.60