Finding the Third Proportional to 116,571 and 209,156

Step by Step Solution

1. Step 1: Write the proportion equation
   116,571 : 209,156 = 209,156 : x
2. Step 2: Convert to fraction form
   116,571/209,156 = 209,156/x
3. Step 3: Cross multiply
   116,571x = 209,156 × 209,156
4. Step 4: Simplify right side
   116,571x = 43,746,232,336
5. Step 5: Solve for x
   x = 43,746,232,336/116,571
6. Step 6: Final answer
   x = 375,275.43