Finding the Third Proportional to 77,025 and 165,114

Step by Step Solution

1. Step 1: Write the proportion equation
   77,025 : 165,114 = 165,114 : x
2. Step 2: Convert to fraction form
   77,025/165,114 = 165,114/x
3. Step 3: Cross multiply
   77,025x = 165,114 × 165,114
4. Step 4: Simplify right side
   77,025x = 27,262,632,996
5. Step 5: Solve for x
   x = 27,262,632,996/77,025
6. Step 6: Final answer
   x = 353,945.25