Finding the Third Proportional to 103,086 and 147,020

Step by Step Solution

1. Step 1: Write the proportion equation
   103,086 : 147,020 = 147,020 : x
2. Step 2: Convert to fraction form
   103,086/147,020 = 147,020/x
3. Step 3: Cross multiply
   103,086x = 147,020 × 147,020
4. Step 4: Simplify right side
   103,086x = 21,614,880,400
5. Step 5: Solve for x
   x = 21,614,880,400/103,086
6. Step 6: Final answer
   x = 209,678.14