Finding the Third Proportional to 179,977 and 275,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,977 : 275,419.50 = 275,419.50 : x
2. Step 2: Convert to fraction form
   179,977/275,419.50 = 275,419.50/x
3. Step 3: Cross multiply
   179,977x = 275,419.50 × 275,419.50
4. Step 4: Simplify right side
   179,977x = 75,855,900,980.25
5. Step 5: Solve for x
   x = 75,855,900,980.25/179,977
6. Step 6: Final answer
   x = 421,475.53