Finding the Third Proportional to 177,003 and 385,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,003 : 385,105.50 = 385,105.50 : x
2. Step 2: Convert to fraction form
   177,003/385,105.50 = 385,105.50/x
3. Step 3: Cross multiply
   177,003x = 385,105.50 × 385,105.50
4. Step 4: Simplify right side
   177,003x = 148,306,246,130.25
5. Step 5: Solve for x
   x = 148,306,246,130.25/177,003
6. Step 6: Final answer
   x = 837,874.19