Finding the Third Proportional to 202,924 and 315,437

Step by Step Solution

1. Step 1: Write the proportion equation
   202,924 : 315,437 = 315,437 : x
2. Step 2: Convert to fraction form
   202,924/315,437 = 315,437/x
3. Step 3: Cross multiply
   202,924x = 315,437 × 315,437
4. Step 4: Simplify right side
   202,924x = 99,500,500,969
5. Step 5: Solve for x
   x = 99,500,500,969/202,924
6. Step 6: Final answer
   x = 490,333.82