Finding the Third Proportional to 39,120 and 85,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,120 : 85,408.50 = 85,408.50 : x
2. Step 2: Convert to fraction form
   39,120/85,408.50 = 85,408.50/x
3. Step 3: Cross multiply
   39,120x = 85,408.50 × 85,408.50
4. Step 4: Simplify right side
   39,120x = 7,294,611,872.25
5. Step 5: Solve for x
   x = 7,294,611,872.25/39,120
6. Step 6: Final answer
   x = 186,467.58