Finding the Third Proportional to 36,180.25 and 77,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,180.25 : 77,139.50 = 77,139.50 : x
2. Step 2: Convert to fraction form
   36,180.25/77,139.50 = 77,139.50/x
3. Step 3: Cross multiply
   36,180.25x = 77,139.50 × 77,139.50
4. Step 4: Simplify right side
   36,180.25x = 5,950,502,460.25
5. Step 5: Solve for x
   x = 5,950,502,460.25/36,180.25
6. Step 6: Final answer
   x = 164,468.25