Finding the Third Proportional to 175,443 and 380,694

Step by Step Solution

1. Step 1: Write the proportion equation
   175,443 : 380,694 = 380,694 : x
2. Step 2: Convert to fraction form
   175,443/380,694 = 380,694/x
3. Step 3: Cross multiply
   175,443x = 380,694 × 380,694
4. Step 4: Simplify right side
   175,443x = 144,927,921,636
5. Step 5: Solve for x
   x = 144,927,921,636/175,443
6. Step 6: Final answer
   x = 826,068.42