Finding the Third Proportional to 115,389 and 174,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,389 : 174,622.50 = 174,622.50 : x
2. Step 2: Convert to fraction form
   115,389/174,622.50 = 174,622.50/x
3. Step 3: Cross multiply
   115,389x = 174,622.50 × 174,622.50
4. Step 4: Simplify right side
   115,389x = 30,493,017,506.25
5. Step 5: Solve for x
   x = 30,493,017,506.25/115,389
6. Step 6: Final answer
   x = 264,262.78