Finding the Third Proportional to 259,175 and 386,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,175 : 386,764.50 = 386,764.50 : x
2. Step 2: Convert to fraction form
   259,175/386,764.50 = 386,764.50/x
3. Step 3: Cross multiply
   259,175x = 386,764.50 × 386,764.50
4. Step 4: Simplify right side
   259,175x = 149,586,778,460.25
5. Step 5: Solve for x
   x = 149,586,778,460.25/259,175
6. Step 6: Final answer
   x = 577,165.15