Finding the Third Proportional to 267,066 and 407,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,066 : 407,335.50 = 407,335.50 : x
2. Step 2: Convert to fraction form
   267,066/407,335.50 = 407,335.50/x
3. Step 3: Cross multiply
   267,066x = 407,335.50 × 407,335.50
4. Step 4: Simplify right side
   267,066x = 165,922,209,560.25
5. Step 5: Solve for x
   x = 165,922,209,560.25/267,066
6. Step 6: Final answer
   x = 621,277.92