Finding the Third Proportional to 57,096 and 122,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,096 : 122,941.50 = 122,941.50 : x
2. Step 2: Convert to fraction form
   57,096/122,941.50 = 122,941.50/x
3. Step 3: Cross multiply
   57,096x = 122,941.50 × 122,941.50
4. Step 4: Simplify right side
   57,096x = 15,114,612,422.25
5. Step 5: Solve for x
   x = 15,114,612,422.25/57,096
6. Step 6: Final answer
   x = 264,722.79