Finding the Third Proportional to 171,876 and 252,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,876 : 252,544.50 = 252,544.50 : x
2. Step 2: Convert to fraction form
   171,876/252,544.50 = 252,544.50/x
3. Step 3: Cross multiply
   171,876x = 252,544.50 × 252,544.50
4. Step 4: Simplify right side
   171,876x = 63,778,724,480.25
5. Step 5: Solve for x
   x = 63,778,724,480.25/171,876
6. Step 6: Final answer
   x = 371,074.06