Finding the Third Proportional to 31,705 and 74,978

Step by Step Solution

1. Step 1: Write the proportion equation
   31,705 : 74,978 = 74,978 : x
2. Step 2: Convert to fraction form
   31,705/74,978 = 74,978/x
3. Step 3: Cross multiply
   31,705x = 74,978 × 74,978
4. Step 4: Simplify right side
   31,705x = 5,621,700,484
5. Step 5: Solve for x
   x = 5,621,700,484/31,705
6. Step 6: Final answer
   x = 177,312.74