Finding the Third Proportional to 83,166 and 178,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,166 : 178,786.50 = 178,786.50 : x
2. Step 2: Convert to fraction form
   83,166/178,786.50 = 178,786.50/x
3. Step 3: Cross multiply
   83,166x = 178,786.50 × 178,786.50
4. Step 4: Simplify right side
   83,166x = 31,964,612,582.25
5. Step 5: Solve for x
   x = 31,964,612,582.25/83,166
6. Step 6: Final answer
   x = 384,347.12