Finding the Third Proportional to 77,968 and 164,086

Step by Step Solution

1. Step 1: Write the proportion equation
   77,968 : 164,086 = 164,086 : x
2. Step 2: Convert to fraction form
   77,968/164,086 = 164,086/x
3. Step 3: Cross multiply
   77,968x = 164,086 × 164,086
4. Step 4: Simplify right side
   77,968x = 26,924,215,396
5. Step 5: Solve for x
   x = 26,924,215,396/77,968
6. Step 6: Final answer
   x = 345,323.92