Finding the Third Proportional to 113,427 and 176,419.69

Step by Step Solution

1. Step 1: Write the proportion equation
   113,427 : 176,419.69 = 176,419.69 : x
2. Step 2: Convert to fraction form
   113,427/176,419.69 = 176,419.69/x
3. Step 3: Cross multiply
   113,427x = 176,419.69 × 176,419.69
4. Step 4: Simplify right side
   113,427x = 31,123,906,137.60
5. Step 5: Solve for x
   x = 31,123,906,137.60/113,427
6. Step 6: Final answer
   x = 274,395.92