Finding the Third Proportional to 177,401 and 275,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,401 : 275,444.50 = 275,444.50 : x
2. Step 2: Convert to fraction form
   177,401/275,444.50 = 275,444.50/x
3. Step 3: Cross multiply
   177,401x = 275,444.50 × 275,444.50
4. Step 4: Simplify right side
   177,401x = 75,869,672,580.25
5. Step 5: Solve for x
   x = 75,869,672,580.25/177,401
6. Step 6: Final answer
   x = 427,673.31