Finding the Third Proportional to 147,812 and 282,016

Step by Step Solution

1. Step 1: Write the proportion equation
   147,812 : 282,016 = 282,016 : x
2. Step 2: Convert to fraction form
   147,812/282,016 = 282,016/x
3. Step 3: Cross multiply
   147,812x = 282,016 × 282,016
4. Step 4: Simplify right side
   147,812x = 79,533,024,256
5. Step 5: Solve for x
   x = 79,533,024,256/147,812
6. Step 6: Final answer
   x = 538,068.79