Finding the Third Proportional to 115,992 and 254,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,992 : 254,398.50 = 254,398.50 : x
2. Step 2: Convert to fraction form
   115,992/254,398.50 = 254,398.50/x
3. Step 3: Cross multiply
   115,992x = 254,398.50 × 254,398.50
4. Step 4: Simplify right side
   115,992x = 64,718,596,802.25
5. Step 5: Solve for x
   x = 64,718,596,802.25/115,992
6. Step 6: Final answer
   x = 557,957.42