Finding the Third Proportional to 115,746 and 173,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,746 : 173,927.50 = 173,927.50 : x
2. Step 2: Convert to fraction form
   115,746/173,927.50 = 173,927.50/x
3. Step 3: Cross multiply
   115,746x = 173,927.50 × 173,927.50
4. Step 4: Simplify right side
   115,746x = 30,250,775,256.25
5. Step 5: Solve for x
   x = 30,250,775,256.25/115,746
6. Step 6: Final answer
   x = 261,354.82