Finding the Third Proportional to 200,492 and 417,570

Step by Step Solution

1. Step 1: Write the proportion equation
   200,492 : 417,570 = 417,570 : x
2. Step 2: Convert to fraction form
   200,492/417,570 = 417,570/x
3. Step 3: Cross multiply
   200,492x = 417,570 × 417,570
4. Step 4: Simplify right side
   200,492x = 174,364,704,900
5. Step 5: Solve for x
   x = 174,364,704,900/200,492
6. Step 6: Final answer
   x = 869,684.10