Finding the Third Proportional to 113,376 and 176,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,376 : 176,956.50 = 176,956.50 : x
2. Step 2: Convert to fraction form
   113,376/176,956.50 = 176,956.50/x
3. Step 3: Cross multiply
   113,376x = 176,956.50 × 176,956.50
4. Step 4: Simplify right side
   113,376x = 31,313,602,892.25
5. Step 5: Solve for x
   x = 31,313,602,892.25/113,376
6. Step 6: Final answer
   x = 276,192.52