Finding the Third Proportional to 83,222 and 178,108

Step by Step Solution

1. Step 1: Write the proportion equation
   83,222 : 178,108 = 178,108 : x
2. Step 2: Convert to fraction form
   83,222/178,108 = 178,108/x
3. Step 3: Cross multiply
   83,222x = 178,108 × 178,108
4. Step 4: Simplify right side
   83,222x = 31,722,459,664
5. Step 5: Solve for x
   x = 31,722,459,664/83,222
6. Step 6: Final answer
   x = 381,178.77