Finding the Third Proportional to 72,827 and 109,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,827 : 109,908.50 = 109,908.50 : x
2. Step 2: Convert to fraction form
   72,827/109,908.50 = 109,908.50/x
3. Step 3: Cross multiply
   72,827x = 109,908.50 × 109,908.50
4. Step 4: Simplify right side
   72,827x = 12,079,878,372.25
5. Step 5: Solve for x
   x = 12,079,878,372.25/72,827
6. Step 6: Final answer
   x = 165,870.88