Finding the Third Proportional to 113,497 and 171,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,497 : 171,823.50 = 171,823.50 : x
2. Step 2: Convert to fraction form
   113,497/171,823.50 = 171,823.50/x
3. Step 3: Cross multiply
   113,497x = 171,823.50 × 171,823.50
4. Step 4: Simplify right side
   113,497x = 29,523,315,152.25
5. Step 5: Solve for x
   x = 29,523,315,152.25/113,497
6. Step 6: Final answer
   x = 260,124.19