Finding the Third Proportional to 67,853 and 102,522

Step by Step Solution

1. Step 1: Write the proportion equation
   67,853 : 102,522 = 102,522 : x
2. Step 2: Convert to fraction form
   67,853/102,522 = 102,522/x
3. Step 3: Cross multiply
   67,853x = 102,522 × 102,522
4. Step 4: Simplify right side
   67,853x = 10,510,760,484
5. Step 5: Solve for x
   x = 10,510,760,484/67,853
6. Step 6: Final answer
   x = 154,904.88