Finding the Third Proportional to 497,008 and 765,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   497,008 : 765,058.50 = 765,058.50 : x
2. Step 2: Convert to fraction form
   497,008/765,058.50 = 765,058.50/x
3. Step 3: Cross multiply
   497,008x = 765,058.50 × 765,058.50
4. Step 4: Simplify right side
   497,008x = 585,314,508,422.25
5. Step 5: Solve for x
   x = 585,314,508,422.25/497,008
6. Step 6: Final answer
   x = 1,177,676.23