Finding the Third Proportional to 84,913.50 and 184,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,913.50 : 184,591.50 = 184,591.50 : x
2. Step 2: Convert to fraction form
   84,913.50/184,591.50 = 184,591.50/x
3. Step 3: Cross multiply
   84,913.50x = 184,591.50 × 184,591.50
4. Step 4: Simplify right side
   84,913.50x = 34,074,021,872.25
5. Step 5: Solve for x
   x = 34,074,021,872.25/84,913.50
6. Step 6: Final answer
   x = 401,279.21