Finding the Third Proportional to 113,353 and 176,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,353 : 176,329.50 = 176,329.50 : x
2. Step 2: Convert to fraction form
   113,353/176,329.50 = 176,329.50/x
3. Step 3: Cross multiply
   113,353x = 176,329.50 × 176,329.50
4. Step 4: Simplify right side
   113,353x = 31,092,092,570.25
5. Step 5: Solve for x
   x = 31,092,092,570.25/113,353
6. Step 6: Final answer
   x = 274,294.40