Finding the Third Proportional to 114,516 and 173,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,516 : 173,029.50 = 173,029.50 : x
2. Step 2: Convert to fraction form
   114,516/173,029.50 = 173,029.50/x
3. Step 3: Cross multiply
   114,516x = 173,029.50 × 173,029.50
4. Step 4: Simplify right side
   114,516x = 29,939,207,870.25
5. Step 5: Solve for x
   x = 29,939,207,870.25/114,516
6. Step 6: Final answer
   x = 261,441.26