Finding the Third Proportional to 70,776 and 108,636

Step by Step Solution

1. Step 1: Write the proportion equation
   70,776 : 108,636 = 108,636 : x
2. Step 2: Convert to fraction form
   70,776/108,636 = 108,636/x
3. Step 3: Cross multiply
   70,776x = 108,636 × 108,636
4. Step 4: Simplify right side
   70,776x = 11,801,780,496
5. Step 5: Solve for x
   x = 11,801,780,496/70,776
6. Step 6: Final answer
   x = 166,748.34