Finding the Third Proportional to 82,161 and 123,705

Step by Step Solution

1. Step 1: Write the proportion equation
   82,161 : 123,705 = 123,705 : x
2. Step 2: Convert to fraction form
   82,161/123,705 = 123,705/x
3. Step 3: Cross multiply
   82,161x = 123,705 × 123,705
4. Step 4: Simplify right side
   82,161x = 15,302,927,025
5. Step 5: Solve for x
   x = 15,302,927,025/82,161
6. Step 6: Final answer
   x = 186,255.36