Finding the Third Proportional to 178,425.50 and 384,705

Step by Step Solution

1. Step 1: Write the proportion equation
   178,425.50 : 384,705 = 384,705 : x
2. Step 2: Convert to fraction form
   178,425.50/384,705 = 384,705/x
3. Step 3: Cross multiply
   178,425.50x = 384,705 × 384,705
4. Step 4: Simplify right side
   178,425.50x = 147,997,937,025
5. Step 5: Solve for x
   x = 147,997,937,025/178,425.50
6. Step 6: Final answer
   x = 829,466.29