Finding the Third Proportional to 116,210 and 173,859

Step by Step Solution

1. Step 1: Write the proportion equation
   116,210 : 173,859 = 173,859 : x
2. Step 2: Convert to fraction form
   116,210/173,859 = 173,859/x
3. Step 3: Cross multiply
   116,210x = 173,859 × 173,859
4. Step 4: Simplify right side
   116,210x = 30,226,951,881
5. Step 5: Solve for x
   x = 30,226,951,881/116,210
6. Step 6: Final answer
   x = 260,106.29