Finding the Third Proportional to 200,793 and 322,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,793 : 322,897.50 = 322,897.50 : x
2. Step 2: Convert to fraction form
   200,793/322,897.50 = 322,897.50/x
3. Step 3: Cross multiply
   200,793x = 322,897.50 × 322,897.50
4. Step 4: Simplify right side
   200,793x = 104,262,795,506.25
5. Step 5: Solve for x
   x = 104,262,795,506.25/200,793
6. Step 6: Final answer
   x = 519,255.13