Finding the Third Proportional to 131,870 and 209,656

Step by Step Solution

1. Step 1: Write the proportion equation
   131,870 : 209,656 = 209,656 : x
2. Step 2: Convert to fraction form
   131,870/209,656 = 209,656/x
3. Step 3: Cross multiply
   131,870x = 209,656 × 209,656
4. Step 4: Simplify right side
   131,870x = 43,955,638,336
5. Step 5: Solve for x
   x = 43,955,638,336/131,870
6. Step 6: Final answer
   x = 333,325.54