Finding the Third Proportional to 200,114 and 427,012

Step by Step Solution

1. Step 1: Write the proportion equation
   200,114 : 427,012 = 427,012 : x
2. Step 2: Convert to fraction form
   200,114/427,012 = 427,012/x
3. Step 3: Cross multiply
   200,114x = 427,012 × 427,012
4. Step 4: Simplify right side
   200,114x = 182,339,248,144
5. Step 5: Solve for x
   x = 182,339,248,144/200,114
6. Step 6: Final answer
   x = 911,176.87