Finding the Third Proportional to 114,922 and 267,054

Step by Step Solution

1. Step 1: Write the proportion equation
   114,922 : 267,054 = 267,054 : x
2. Step 2: Convert to fraction form
   114,922/267,054 = 267,054/x
3. Step 3: Cross multiply
   114,922x = 267,054 × 267,054
4. Step 4: Simplify right side
   114,922x = 71,317,838,916
5. Step 5: Solve for x
   x = 71,317,838,916/114,922
6. Step 6: Final answer
   x = 620,576.03