Finding the Third Proportional to 83,108 and 177,892

Step by Step Solution

1. Step 1: Write the proportion equation
   83,108 : 177,892 = 177,892 : x
2. Step 2: Convert to fraction form
   83,108/177,892 = 177,892/x
3. Step 3: Cross multiply
   83,108x = 177,892 × 177,892
4. Step 4: Simplify right side
   83,108x = 31,645,563,664
5. Step 5: Solve for x
   x = 31,645,563,664/83,108
6. Step 6: Final answer
   x = 380,776.38