Finding the Third Proportional to 182,334 and 383,094

Step by Step Solution

1. Step 1: Write the proportion equation
   182,334 : 383,094 = 383,094 : x
2. Step 2: Convert to fraction form
   182,334/383,094 = 383,094/x
3. Step 3: Cross multiply
   182,334x = 383,094 × 383,094
4. Step 4: Simplify right side
   182,334x = 146,761,012,836
5. Step 5: Solve for x
   x = 146,761,012,836/182,334
6. Step 6: Final answer
   x = 804,902.06