Finding the Third Proportional to 74,523 and 109,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,523 : 109,408.50 = 109,408.50 : x
2. Step 2: Convert to fraction form
   74,523/109,408.50 = 109,408.50/x
3. Step 3: Cross multiply
   74,523x = 109,408.50 × 109,408.50
4. Step 4: Simplify right side
   74,523x = 11,970,219,872.25
5. Step 5: Solve for x
   x = 11,970,219,872.25/74,523
6. Step 6: Final answer
   x = 160,624.50