Finding the Third Proportional to 72,747 and 109,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,747 : 109,768.50 = 109,768.50 : x
2. Step 2: Convert to fraction form
   72,747/109,768.50 = 109,768.50/x
3. Step 3: Cross multiply
   72,747x = 109,768.50 × 109,768.50
4. Step 4: Simplify right side
   72,747x = 12,049,123,592.25
5. Step 5: Solve for x
   x = 12,049,123,592.25/72,747
6. Step 6: Final answer
   x = 165,630.52