Finding the Third Proportional to 36,458 and 77,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,458 : 77,249.50 = 77,249.50 : x
2. Step 2: Convert to fraction form
   36,458/77,249.50 = 77,249.50/x
3. Step 3: Cross multiply
   36,458x = 77,249.50 × 77,249.50
4. Step 4: Simplify right side
   36,458x = 5,967,485,250.25
5. Step 5: Solve for x
   x = 5,967,485,250.25/36,458
6. Step 6: Final answer
   x = 163,681.09