Finding the Third Proportional to 178,516 and 389,632

Step by Step Solution

1. Step 1: Write the proportion equation
   178,516 : 389,632 = 389,632 : x
2. Step 2: Convert to fraction form
   178,516/389,632 = 389,632/x
3. Step 3: Cross multiply
   178,516x = 389,632 × 389,632
4. Step 4: Simplify right side
   178,516x = 151,813,095,424
5. Step 5: Solve for x
   x = 151,813,095,424/178,516
6. Step 6: Final answer
   x = 850,417.30