Finding the Third Proportional to 202,411.50 and 301,977

Step by Step Solution

1. Step 1: Write the proportion equation
   202,411.50 : 301,977 = 301,977 : x
2. Step 2: Convert to fraction form
   202,411.50/301,977 = 301,977/x
3. Step 3: Cross multiply
   202,411.50x = 301,977 × 301,977
4. Step 4: Simplify right side
   202,411.50x = 91,190,108,529
5. Step 5: Solve for x
   x = 91,190,108,529/202,411.50
6. Step 6: Final answer
   x = 450,518.42