Finding the Third Proportional to 103,074 and 147,003

Step by Step Solution

1. Step 1: Write the proportion equation
   103,074 : 147,003 = 147,003 : x
2. Step 2: Convert to fraction form
   103,074/147,003 = 147,003/x
3. Step 3: Cross multiply
   103,074x = 147,003 × 147,003
4. Step 4: Simplify right side
   103,074x = 21,609,882,009
5. Step 5: Solve for x
   x = 21,609,882,009/103,074
6. Step 6: Final answer
   x = 209,654.05