Finding the Third Proportional to 176,064 and 379,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,064 : 379,504.50 = 379,504.50 : x
2. Step 2: Convert to fraction form
   176,064/379,504.50 = 379,504.50/x
3. Step 3: Cross multiply
   176,064x = 379,504.50 × 379,504.50
4. Step 4: Simplify right side
   176,064x = 144,023,665,520.25
5. Step 5: Solve for x
   x = 144,023,665,520.25/176,064
6. Step 6: Final answer
   x = 818,018.82