Finding the Third Proportional to 70,496 and 107,978

Step by Step Solution

1. Step 1: Write the proportion equation
   70,496 : 107,978 = 107,978 : x
2. Step 2: Convert to fraction form
   70,496/107,978 = 107,978/x
3. Step 3: Cross multiply
   70,496x = 107,978 × 107,978
4. Step 4: Simplify right side
   70,496x = 11,659,248,484
5. Step 5: Solve for x
   x = 11,659,248,484/70,496
6. Step 6: Final answer
   x = 165,388.79