Finding the Third Proportional to 116,583 and 209,172

Step by Step Solution

1. Step 1: Write the proportion equation
   116,583 : 209,172 = 209,172 : x
2. Step 2: Convert to fraction form
   116,583/209,172 = 209,172/x
3. Step 3: Cross multiply
   116,583x = 209,172 × 209,172
4. Step 4: Simplify right side
   116,583x = 43,752,925,584
5. Step 5: Solve for x
   x = 43,752,925,584/116,583
6. Step 6: Final answer
   x = 375,294.22