Finding the Third Proportional to 72,765 and 108,698.63

Step by Step Solution

1. Step 1: Write the proportion equation
   72,765 : 108,698.63 = 108,698.63 : x
2. Step 2: Convert to fraction form
   72,765/108,698.63 = 108,698.63/x
3. Step 3: Cross multiply
   72,765x = 108,698.63 × 108,698.63
4. Step 4: Simplify right side
   72,765x = 11,815,391,076.89
5. Step 5: Solve for x
   x = 11,815,391,076.89/72,765
6. Step 6: Final answer
   x = 162,377.39