Finding the Third Proportional to 200,539 and 428,146

Step by Step Solution

1. Step 1: Write the proportion equation
   200,539 : 428,146 = 428,146 : x
2. Step 2: Convert to fraction form
   200,539/428,146 = 428,146/x
3. Step 3: Cross multiply
   200,539x = 428,146 × 428,146
4. Step 4: Simplify right side
   200,539x = 183,308,997,316
5. Step 5: Solve for x
   x = 183,308,997,316/200,539
6. Step 6: Final answer
   x = 914,081.54