Finding the Third Proportional to 262,983 and 372,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,983 : 372,118.50 = 372,118.50 : x
2. Step 2: Convert to fraction form
   262,983/372,118.50 = 372,118.50/x
3. Step 3: Cross multiply
   262,983x = 372,118.50 × 372,118.50
4. Step 4: Simplify right side
   262,983x = 138,472,178,042.25
5. Step 5: Solve for x
   x = 138,472,178,042.25/262,983
6. Step 6: Final answer
   x = 526,544.22