Finding the Third Proportional to 175,977 and 414,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,977 : 414,978.50 = 414,978.50 : x
2. Step 2: Convert to fraction form
   175,977/414,978.50 = 414,978.50/x
3. Step 3: Cross multiply
   175,977x = 414,978.50 × 414,978.50
4. Step 4: Simplify right side
   175,977x = 172,207,155,462.25
5. Step 5: Solve for x
   x = 172,207,155,462.25/175,977
6. Step 6: Final answer
   x = 978,577.63