Finding the Third Proportional to 57,096 and 120,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,096 : 120,346.50 = 120,346.50 : x
2. Step 2: Convert to fraction form
   57,096/120,346.50 = 120,346.50/x
3. Step 3: Cross multiply
   57,096x = 120,346.50 × 120,346.50
4. Step 4: Simplify right side
   57,096x = 14,483,280,062.25
5. Step 5: Solve for x
   x = 14,483,280,062.25/57,096
6. Step 6: Final answer
   x = 253,665.41