Finding the Third Proportional to 83,111 and 178,129

Step by Step Solution

1. Step 1: Write the proportion equation
   83,111 : 178,129 = 178,129 : x
2. Step 2: Convert to fraction form
   83,111/178,129 = 178,129/x
3. Step 3: Cross multiply
   83,111x = 178,129 × 178,129
4. Step 4: Simplify right side
   83,111x = 31,729,940,641
5. Step 5: Solve for x
   x = 31,729,940,641/83,111
6. Step 6: Final answer
   x = 381,777.87