Finding the Third Proportional to 185,006 and 383,140

Step by Step Solution

1. Step 1: Write the proportion equation
   185,006 : 383,140 = 383,140 : x
2. Step 2: Convert to fraction form
   185,006/383,140 = 383,140/x
3. Step 3: Cross multiply
   185,006x = 383,140 × 383,140
4. Step 4: Simplify right side
   185,006x = 146,796,259,600
5. Step 5: Solve for x
   x = 146,796,259,600/185,006
6. Step 6: Final answer
   x = 793,467.56