Finding the Third Proportional to 85,905 and 184,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,905 : 184,522.50 = 184,522.50 : x
2. Step 2: Convert to fraction form
   85,905/184,522.50 = 184,522.50/x
3. Step 3: Cross multiply
   85,905x = 184,522.50 × 184,522.50
4. Step 4: Simplify right side
   85,905x = 34,048,553,006.25
5. Step 5: Solve for x
   x = 34,048,553,006.25/85,905
6. Step 6: Final answer
   x = 396,351.24