Finding the Third Proportional to 78,045 and 184,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,045 : 184,171.50 = 184,171.50 : x
2. Step 2: Convert to fraction form
   78,045/184,171.50 = 184,171.50/x
3. Step 3: Cross multiply
   78,045x = 184,171.50 × 184,171.50
4. Step 4: Simplify right side
   78,045x = 33,919,141,412.25
5. Step 5: Solve for x
   x = 33,919,141,412.25/78,045
6. Step 6: Final answer
   x = 434,610.05