Finding the Third Proportional to 77,274 and 164,025

Step by Step Solution

1. Step 1: Write the proportion equation
   77,274 : 164,025 = 164,025 : x
2. Step 2: Convert to fraction form
   77,274/164,025 = 164,025/x
3. Step 3: Cross multiply
   77,274x = 164,025 × 164,025
4. Step 4: Simplify right side
   77,274x = 26,904,200,625
5. Step 5: Solve for x
   x = 26,904,200,625/77,274
6. Step 6: Final answer
   x = 348,166.27