Finding the Third Proportional to 120,375 and 254,180.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,375 : 254,180.25 = 254,180.25 : x
2. Step 2: Convert to fraction form
   120,375/254,180.25 = 254,180.25/x
3. Step 3: Cross multiply
   120,375x = 254,180.25 × 254,180.25
4. Step 4: Simplify right side
   120,375x = 64,607,599,490.06
5. Step 5: Solve for x
   x = 64,607,599,490.06/120,375
6. Step 6: Final answer
   x = 536,719.41