Finding the Third Proportional to 200,582 and 427,156

Step by Step Solution

1. Step 1: Write the proportion equation
   200,582 : 427,156 = 427,156 : x
2. Step 2: Convert to fraction form
   200,582/427,156 = 427,156/x
3. Step 3: Cross multiply
   200,582x = 427,156 × 427,156
4. Step 4: Simplify right side
   200,582x = 182,462,248,336
5. Step 5: Solve for x
   x = 182,462,248,336/200,582
6. Step 6: Final answer
   x = 909,664.12