Finding the Third Proportional to 147,808 and 282,008

Step by Step Solution

1. Step 1: Write the proportion equation
   147,808 : 282,008 = 282,008 : x
2. Step 2: Convert to fraction form
   147,808/282,008 = 282,008/x
3. Step 3: Cross multiply
   147,808x = 282,008 × 282,008
4. Step 4: Simplify right side
   147,808x = 79,528,512,064
5. Step 5: Solve for x
   x = 79,528,512,064/147,808
6. Step 6: Final answer
   x = 538,052.83