Finding the Third Proportional to 83,154 and 178,116

Step by Step Solution

1. Step 1: Write the proportion equation
   83,154 : 178,116 = 178,116 : x
2. Step 2: Convert to fraction form
   83,154/178,116 = 178,116/x
3. Step 3: Cross multiply
   83,154x = 178,116 × 178,116
4. Step 4: Simplify right side
   83,154x = 31,725,309,456
5. Step 5: Solve for x
   x = 31,725,309,456/83,154
6. Step 6: Final answer
   x = 381,524.75