Finding the Third Proportional to 79,978 and 185,153

Step by Step Solution

1. Step 1: Write the proportion equation
   79,978 : 185,153 = 185,153 : x
2. Step 2: Convert to fraction form
   79,978/185,153 = 185,153/x
3. Step 3: Cross multiply
   79,978x = 185,153 × 185,153
4. Step 4: Simplify right side
   79,978x = 34,281,633,409
5. Step 5: Solve for x
   x = 34,281,633,409/79,978
6. Step 6: Final answer
   x = 428,638.29