Finding the Third Proportional to 120,171 and 176,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,171 : 176,980.50 = 176,980.50 : x
2. Step 2: Convert to fraction form
   120,171/176,980.50 = 176,980.50/x
3. Step 3: Cross multiply
   120,171x = 176,980.50 × 176,980.50
4. Step 4: Simplify right side
   120,171x = 31,322,097,380.25
5. Step 5: Solve for x
   x = 31,322,097,380.25/120,171
6. Step 6: Final answer
   x = 260,646.06