Finding the Third Proportional to 83,133 and 178,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,133 : 178,078.50 = 178,078.50 : x
2. Step 2: Convert to fraction form
   83,133/178,078.50 = 178,078.50/x
3. Step 3: Cross multiply
   83,133x = 178,078.50 × 178,078.50
4. Step 4: Simplify right side
   83,133x = 31,711,952,162.25
5. Step 5: Solve for x
   x = 31,711,952,162.25/83,133
6. Step 6: Final answer
   x = 381,460.46