Finding the Third Proportional to 113,410.50 and 176,393.25

Step by Step Solution

1. Step 1: Write the proportion equation
   113,410.50 : 176,393.25 = 176,393.25 : x
2. Step 2: Convert to fraction form
   113,410.50/176,393.25 = 176,393.25/x
3. Step 3: Cross multiply
   113,410.50x = 176,393.25 × 176,393.25
4. Step 4: Simplify right side
   113,410.50x = 31,114,578,645.56
5. Step 5: Solve for x
   x = 31,114,578,645.56/113,410.50
6. Step 6: Final answer
   x = 274,353.60