Finding the Third Proportional to 115,413 and 173,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,413 : 173,878.50 = 173,878.50 : x
2. Step 2: Convert to fraction form
   115,413/173,878.50 = 173,878.50/x
3. Step 3: Cross multiply
   115,413x = 173,878.50 × 173,878.50
4. Step 4: Simplify right side
   115,413x = 30,233,732,762.25
5. Step 5: Solve for x
   x = 30,233,732,762.25/115,413
6. Step 6: Final answer
   x = 261,961.24