Finding the Third Proportional to 77,983 and 164,114

Step by Step Solution

1. Step 1: Write the proportion equation
   77,983 : 164,114 = 164,114 : x
2. Step 2: Convert to fraction form
   77,983/164,114 = 164,114/x
3. Step 3: Cross multiply
   77,983x = 164,114 × 164,114
4. Step 4: Simplify right side
   77,983x = 26,933,404,996
5. Step 5: Solve for x
   x = 26,933,404,996/77,983
6. Step 6: Final answer
   x = 345,375.34