Finding the Third Proportional to 84,847.50 and 184,457.25

Step by Step Solution

1. Step 1: Write the proportion equation
   84,847.50 : 184,457.25 = 184,457.25 : x
2. Step 2: Convert to fraction form
   84,847.50/184,457.25 = 184,457.25/x
3. Step 3: Cross multiply
   84,847.50x = 184,457.25 × 184,457.25
4. Step 4: Simplify right side
   84,847.50x = 34,024,477,077.56
5. Step 5: Solve for x
   x = 34,024,477,077.56/84,847.50
6. Step 6: Final answer
   x = 401,007.42