Finding the Third Proportional to 267,807 and 367,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,807 : 367,222.50 = 367,222.50 : x
2. Step 2: Convert to fraction form
   267,807/367,222.50 = 367,222.50/x
3. Step 3: Cross multiply
   267,807x = 367,222.50 × 367,222.50
4. Step 4: Simplify right side
   267,807x = 134,852,364,506.25
5. Step 5: Solve for x
   x = 134,852,364,506.25/267,807
6. Step 6: Final answer
   x = 503,543.09