Finding the Third Proportional to 70,784 and 107,082

Step by Step Solution

1. Step 1: Write the proportion equation
   70,784 : 107,082 = 107,082 : x
2. Step 2: Convert to fraction form
   70,784/107,082 = 107,082/x
3. Step 3: Cross multiply
   70,784x = 107,082 × 107,082
4. Step 4: Simplify right side
   70,784x = 11,466,554,724
5. Step 5: Solve for x
   x = 11,466,554,724/70,784
6. Step 6: Final answer
   x = 161,993.60