Finding the Third Proportional to 72,180 and 113,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,180 : 113,386.50 = 113,386.50 : x
2. Step 2: Convert to fraction form
   72,180/113,386.50 = 113,386.50/x
3. Step 3: Cross multiply
   72,180x = 113,386.50 × 113,386.50
4. Step 4: Simplify right side
   72,180x = 12,856,498,382.25
5. Step 5: Solve for x
   x = 12,856,498,382.25/72,180
6. Step 6: Final answer
   x = 178,117.18