Finding the Third Proportional to 178,821 and 386,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,821 : 386,680.50 = 386,680.50 : x
2. Step 2: Convert to fraction form
   178,821/386,680.50 = 386,680.50/x
3. Step 3: Cross multiply
   178,821x = 386,680.50 × 386,680.50
4. Step 4: Simplify right side
   178,821x = 149,521,809,080.25
5. Step 5: Solve for x
   x = 149,521,809,080.25/178,821
6. Step 6: Final answer
   x = 836,153.52