Finding the Third Proportional to 120,714 and 180,258

Step by Step Solution

1. Step 1: Write the proportion equation
   120,714 : 180,258 = 180,258 : x
2. Step 2: Convert to fraction form
   120,714/180,258 = 180,258/x
3. Step 3: Cross multiply
   120,714x = 180,258 × 180,258
4. Step 4: Simplify right side
   120,714x = 32,492,946,564
5. Step 5: Solve for x
   x = 32,492,946,564/120,714
6. Step 6: Final answer
   x = 269,172.98