Finding the Third Proportional to 83,810 and 178,852

Step by Step Solution

1. Step 1: Write the proportion equation
   83,810 : 178,852 = 178,852 : x
2. Step 2: Convert to fraction form
   83,810/178,852 = 178,852/x
3. Step 3: Cross multiply
   83,810x = 178,852 × 178,852
4. Step 4: Simplify right side
   83,810x = 31,988,037,904
5. Step 5: Solve for x
   x = 31,988,037,904/83,810
6. Step 6: Final answer
   x = 381,673.28