Finding the Third Proportional to 114,650 and 173,706

Step by Step Solution

1. Step 1: Write the proportion equation
   114,650 : 173,706 = 173,706 : x
2. Step 2: Convert to fraction form
   114,650/173,706 = 173,706/x
3. Step 3: Cross multiply
   114,650x = 173,706 × 173,706
4. Step 4: Simplify right side
   114,650x = 30,173,774,436
5. Step 5: Solve for x
   x = 30,173,774,436/114,650
6. Step 6: Final answer
   x = 263,181.63