Finding the Third Proportional to 126,126 and 184,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,126 : 184,333.50 = 184,333.50 : x
2. Step 2: Convert to fraction form
   126,126/184,333.50 = 184,333.50/x
3. Step 3: Cross multiply
   126,126x = 184,333.50 × 184,333.50
4. Step 4: Simplify right side
   126,126x = 33,978,839,222.25
5. Step 5: Solve for x
   x = 33,978,839,222.25/126,126
6. Step 6: Final answer
   x = 269,403.92