Finding the Third Proportional to 72,284 and 114,996

Step by Step Solution

1. Step 1: Write the proportion equation
   72,284 : 114,996 = 114,996 : x
2. Step 2: Convert to fraction form
   72,284/114,996 = 114,996/x
3. Step 3: Cross multiply
   72,284x = 114,996 × 114,996
4. Step 4: Simplify right side
   72,284x = 13,224,080,016
5. Step 5: Solve for x
   x = 13,224,080,016/72,284
6. Step 6: Final answer
   x = 182,946.16