Finding the Third Proportional to 200,735 and 293,564

Step by Step Solution

1. Step 1: Write the proportion equation
   200,735 : 293,564 = 293,564 : x
2. Step 2: Convert to fraction form
   200,735/293,564 = 293,564/x
3. Step 3: Cross multiply
   200,735x = 293,564 × 293,564
4. Step 4: Simplify right side
   200,735x = 86,179,822,096
5. Step 5: Solve for x
   x = 86,179,822,096/200,735
6. Step 6: Final answer
   x = 429,321.35