Finding the Third Proportional to 177,002 and 385,105

Step by Step Solution

1. Step 1: Write the proportion equation
   177,002 : 385,105 = 385,105 : x
2. Step 2: Convert to fraction form
   177,002/385,105 = 385,105/x
3. Step 3: Cross multiply
   177,002x = 385,105 × 385,105
4. Step 4: Simplify right side
   177,002x = 148,305,861,025
5. Step 5: Solve for x
   x = 148,305,861,025/177,002
6. Step 6: Final answer
   x = 837,876.75