Finding the Third Proportional to 87,821 and 184,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,821 : 184,819.50 = 184,819.50 : x
2. Step 2: Convert to fraction form
   87,821/184,819.50 = 184,819.50/x
3. Step 3: Cross multiply
   87,821x = 184,819.50 × 184,819.50
4. Step 4: Simplify right side
   87,821x = 34,158,247,580.25
5. Step 5: Solve for x
   x = 34,158,247,580.25/87,821
6. Step 6: Final answer
   x = 388,953.07