Finding the Third Proportional to 72,826.50 and 109,907.25

Step by Step Solution

1. Step 1: Write the proportion equation
   72,826.50 : 109,907.25 = 109,907.25 : x
2. Step 2: Convert to fraction form
   72,826.50/109,907.25 = 109,907.25/x
3. Step 3: Cross multiply
   72,826.50x = 109,907.25 × 109,907.25
4. Step 4: Simplify right side
   72,826.50x = 12,079,603,602.56
5. Step 5: Solve for x
   x = 12,079,603,602.56/72,826.50
6. Step 6: Final answer
   x = 165,868.24