Finding the Third Proportional to 77,984 and 164,116

Step by Step Solution

1. Step 1: Write the proportion equation
   77,984 : 164,116 = 164,116 : x
2. Step 2: Convert to fraction form
   77,984/164,116 = 164,116/x
3. Step 3: Cross multiply
   77,984x = 164,116 × 164,116
4. Step 4: Simplify right side
   77,984x = 26,934,061,456
5. Step 5: Solve for x
   x = 26,934,061,456/77,984
6. Step 6: Final answer
   x = 345,379.33