Finding the Third Proportional to 114,610 and 177,099

Step by Step Solution

1. Step 1: Write the proportion equation
   114,610 : 177,099 = 177,099 : x
2. Step 2: Convert to fraction form
   114,610/177,099 = 177,099/x
3. Step 3: Cross multiply
   114,610x = 177,099 × 177,099
4. Step 4: Simplify right side
   114,610x = 31,364,055,801
5. Step 5: Solve for x
   x = 31,364,055,801/114,610
6. Step 6: Final answer
   x = 273,658.98