Finding the Third Proportional to 83,610 and 178,564

Step by Step Solution

1. Step 1: Write the proportion equation
   83,610 : 178,564 = 178,564 : x
2. Step 2: Convert to fraction form
   83,610/178,564 = 178,564/x
3. Step 3: Cross multiply
   83,610x = 178,564 × 178,564
4. Step 4: Simplify right side
   83,610x = 31,885,102,096
5. Step 5: Solve for x
   x = 31,885,102,096/83,610
6. Step 6: Final answer
   x = 381,355.13