Finding the Third Proportional to 84,915 and 184,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,915 : 184,567.50 = 184,567.50 : x
2. Step 2: Convert to fraction form
   84,915/184,567.50 = 184,567.50/x
3. Step 3: Cross multiply
   84,915x = 184,567.50 × 184,567.50
4. Step 4: Simplify right side
   84,915x = 34,065,162,056.25
5. Step 5: Solve for x
   x = 34,065,162,056.25/84,915
6. Step 6: Final answer
   x = 401,167.78