Finding the Third Proportional to 106,003 and 215,082

Step by Step Solution

1. Step 1: Write the proportion equation
   106,003 : 215,082 = 215,082 : x
2. Step 2: Convert to fraction form
   106,003/215,082 = 215,082/x
3. Step 3: Cross multiply
   106,003x = 215,082 × 215,082
4. Step 4: Simplify right side
   106,003x = 46,260,266,724
5. Step 5: Solve for x
   x = 46,260,266,724/106,003
6. Step 6: Final answer
   x = 436,405.26