Finding the Third Proportional to 83,774.25 and 176,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,774.25 : 176,863.50 = 176,863.50 : x
2. Step 2: Convert to fraction form
   83,774.25/176,863.50 = 176,863.50/x
3. Step 3: Cross multiply
   83,774.25x = 176,863.50 × 176,863.50
4. Step 4: Simplify right side
   83,774.25x = 31,280,697,632.25
5. Step 5: Solve for x
   x = 31,280,697,632.25/83,774.25
6. Step 6: Final answer
   x = 373,392.75