Finding the Third Proportional to 176,406 and 381,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,406 : 381,106.50 = 381,106.50 : x
2. Step 2: Convert to fraction form
   176,406/381,106.50 = 381,106.50/x
3. Step 3: Cross multiply
   176,406x = 381,106.50 × 381,106.50
4. Step 4: Simplify right side
   176,406x = 145,242,164,342.25
5. Step 5: Solve for x
   x = 145,242,164,342.25/176,406
6. Step 6: Final answer
   x = 823,340.27