Finding the Third Proportional to 202,341 and 314,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,341 : 314,689.50 = 314,689.50 : x
2. Step 2: Convert to fraction form
   202,341/314,689.50 = 314,689.50/x
3. Step 3: Cross multiply
   202,341x = 314,689.50 × 314,689.50
4. Step 4: Simplify right side
   202,341x = 99,029,481,410.25
5. Step 5: Solve for x
   x = 99,029,481,410.25/202,341
6. Step 6: Final answer
   x = 489,418.76