Finding the Third Proportional to 113,949 and 176,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,949 : 176,897.25 = 176,897.25 : x
2. Step 2: Convert to fraction form
   113,949/176,897.25 = 176,897.25/x
3. Step 3: Cross multiply
   113,949x = 176,897.25 × 176,897.25
4. Step 4: Simplify right side
   113,949x = 31,292,637,057.56
5. Step 5: Solve for x
   x = 31,292,637,057.56/113,949
6. Step 6: Final answer
   x = 274,619.67