Finding the Third Proportional to 126,114 and 184,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,114 : 184,321.50 = 184,321.50 : x
2. Step 2: Convert to fraction form
   126,114/184,321.50 = 184,321.50/x
3. Step 3: Cross multiply
   126,114x = 184,321.50 × 184,321.50
4. Step 4: Simplify right side
   126,114x = 33,974,415,362.25
5. Step 5: Solve for x
   x = 33,974,415,362.25/126,114
6. Step 6: Final answer
   x = 269,394.48