Finding the Third Proportional to 175,671 and 380,844

Step by Step Solution

1. Step 1: Write the proportion equation
   175,671 : 380,844 = 380,844 : x
2. Step 2: Convert to fraction form
   175,671/380,844 = 380,844/x
3. Step 3: Cross multiply
   175,671x = 380,844 × 380,844
4. Step 4: Simplify right side
   175,671x = 145,042,152,336
5. Step 5: Solve for x
   x = 145,042,152,336/175,671
6. Step 6: Final answer
   x = 825,646.53