Finding the Third Proportional to 107,710 and 230,082

Step by Step Solution

1. Step 1: Write the proportion equation
   107,710 : 230,082 = 230,082 : x
2. Step 2: Convert to fraction form
   107,710/230,082 = 230,082/x
3. Step 3: Cross multiply
   107,710x = 230,082 × 230,082
4. Step 4: Simplify right side
   107,710x = 52,937,726,724
5. Step 5: Solve for x
   x = 52,937,726,724/107,710
6. Step 6: Final answer
   x = 491,483.86