Finding the Third Proportional to 114,951 and 173,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,951 : 173,533.50 = 173,533.50 : x
2. Step 2: Convert to fraction form
   114,951/173,533.50 = 173,533.50/x
3. Step 3: Cross multiply
   114,951x = 173,533.50 × 173,533.50
4. Step 4: Simplify right side
   114,951x = 30,113,875,622.25
5. Step 5: Solve for x
   x = 30,113,875,622.25/114,951
6. Step 6: Final answer
   x = 261,971.41