Finding the Third Proportional to 185,942 and 382,890

Step by Step Solution

1. Step 1: Write the proportion equation
   185,942 : 382,890 = 382,890 : x
2. Step 2: Convert to fraction form
   185,942/382,890 = 382,890/x
3. Step 3: Cross multiply
   185,942x = 382,890 × 382,890
4. Step 4: Simplify right side
   185,942x = 146,604,752,100
5. Step 5: Solve for x
   x = 146,604,752,100/185,942
6. Step 6: Final answer
   x = 788,443.45