Finding the Third Proportional to 113,537 and 171,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,537 : 171,877.50 = 171,877.50 : x
2. Step 2: Convert to fraction form
   113,537/171,877.50 = 171,877.50/x
3. Step 3: Cross multiply
   113,537x = 171,877.50 × 171,877.50
4. Step 4: Simplify right side
   113,537x = 29,541,875,006.25
5. Step 5: Solve for x
   x = 29,541,875,006.25/113,537
6. Step 6: Final answer
   x = 260,196.02