Finding the Third Proportional to 70,830 and 108,522

Step by Step Solution

1. Step 1: Write the proportion equation
   70,830 : 108,522 = 108,522 : x
2. Step 2: Convert to fraction form
   70,830/108,522 = 108,522/x
3. Step 3: Cross multiply
   70,830x = 108,522 × 108,522
4. Step 4: Simplify right side
   70,830x = 11,777,024,484
5. Step 5: Solve for x
   x = 11,777,024,484/70,830
6. Step 6: Final answer
   x = 166,271.70