Finding the Third Proportional to 173,827 and 366,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,827 : 366,334.50 = 366,334.50 : x
2. Step 2: Convert to fraction form
   173,827/366,334.50 = 366,334.50/x
3. Step 3: Cross multiply
   173,827x = 366,334.50 × 366,334.50
4. Step 4: Simplify right side
   173,827x = 134,200,965,890.25
5. Step 5: Solve for x
   x = 134,200,965,890.25/173,827
6. Step 6: Final answer
   x = 772,037.52