Finding the Third Proportional to 76,978 and 165,188

Step by Step Solution

1. Step 1: Write the proportion equation
   76,978 : 165,188 = 165,188 : x
2. Step 2: Convert to fraction form
   76,978/165,188 = 165,188/x
3. Step 3: Cross multiply
   76,978x = 165,188 × 165,188
4. Step 4: Simplify right side
   76,978x = 27,287,075,344
5. Step 5: Solve for x
   x = 27,287,075,344/76,978
6. Step 6: Final answer
   x = 354,478.88