Finding the Third Proportional to 200,742 and 433,164

Step by Step Solution

1. Step 1: Write the proportion equation
   200,742 : 433,164 = 433,164 : x
2. Step 2: Convert to fraction form
   200,742/433,164 = 433,164/x
3. Step 3: Cross multiply
   200,742x = 433,164 × 433,164
4. Step 4: Simplify right side
   200,742x = 187,631,050,896
5. Step 5: Solve for x
   x = 187,631,050,896/200,742
6. Step 6: Final answer
   x = 934,687.56