Finding the Third Proportional to 113,683 and 176,521.75

Step by Step Solution

1. Step 1: Write the proportion equation
   113,683 : 176,521.75 = 176,521.75 : x
2. Step 2: Convert to fraction form
   113,683/176,521.75 = 176,521.75/x
3. Step 3: Cross multiply
   113,683x = 176,521.75 × 176,521.75
4. Step 4: Simplify right side
   113,683x = 31,159,928,223.06
5. Step 5: Solve for x
   x = 31,159,928,223.06/113,683
6. Step 6: Final answer
   x = 274,094.88