Finding the Third Proportional to 113,583 and 176,376.75

Step by Step Solution

1. Step 1: Write the proportion equation
   113,583 : 176,376.75 = 176,376.75 : x
2. Step 2: Convert to fraction form
   113,583/176,376.75 = 176,376.75/x
3. Step 3: Cross multiply
   113,583x = 176,376.75 × 176,376.75
4. Step 4: Simplify right side
   113,583x = 31,108,757,940.56
5. Step 5: Solve for x
   x = 31,108,757,940.56/113,583
6. Step 6: Final answer
   x = 273,885.69