Finding the Third Proportional to 72,807 and 109,878.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,807 : 109,878.75 = 109,878.75 : x
2. Step 2: Convert to fraction form
   72,807/109,878.75 = 109,878.75/x
3. Step 3: Cross multiply
   72,807x = 109,878.75 × 109,878.75
4. Step 4: Simplify right side
   72,807x = 12,073,339,701.56
5. Step 5: Solve for x
   x = 12,073,339,701.56/72,807
6. Step 6: Final answer
   x = 165,826.63