Finding the Third Proportional to 65,025 and 122,274

Step by Step Solution

1. Step 1: Write the proportion equation
   65,025 : 122,274 = 122,274 : x
2. Step 2: Convert to fraction form
   65,025/122,274 = 122,274/x
3. Step 3: Cross multiply
   65,025x = 122,274 × 122,274
4. Step 4: Simplify right side
   65,025x = 14,950,931,076
5. Step 5: Solve for x
   x = 14,950,931,076/65,025
6. Step 6: Final answer
   x = 229,925.89