Finding the Third Proportional to 103,082 and 147,014

Step by Step Solution

1. Step 1: Write the proportion equation
   103,082 : 147,014 = 147,014 : x
2. Step 2: Convert to fraction form
   103,082/147,014 = 147,014/x
3. Step 3: Cross multiply
   103,082x = 147,014 × 147,014
4. Step 4: Simplify right side
   103,082x = 21,613,116,196
5. Step 5: Solve for x
   x = 21,613,116,196/103,082
6. Step 6: Final answer
   x = 209,669.16