Finding the Third Proportional to 79,974 and 185,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,974 : 185,140.50 = 185,140.50 : x
2. Step 2: Convert to fraction form
   79,974/185,140.50 = 185,140.50/x
3. Step 3: Cross multiply
   79,974x = 185,140.50 × 185,140.50
4. Step 4: Simplify right side
   79,974x = 34,277,004,740.25
5. Step 5: Solve for x
   x = 34,277,004,740.25/79,974
6. Step 6: Final answer
   x = 428,601.85