Finding the Third Proportional to 123,647.50 and 186,051.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,647.50 : 186,051.25 = 186,051.25 : x
2. Step 2: Convert to fraction form
   123,647.50/186,051.25 = 186,051.25/x
3. Step 3: Cross multiply
   123,647.50x = 186,051.25 × 186,051.25
4. Step 4: Simplify right side
   123,647.50x = 34,615,067,626.56
5. Step 5: Solve for x
   x = 34,615,067,626.56/123,647.50
6. Step 6: Final answer
   x = 279,949.60