Finding the Third Proportional to 379,046 and 824,904

Step by Step Solution

1. Step 1: Write the proportion equation
   379,046 : 824,904 = 824,904 : x
2. Step 2: Convert to fraction form
   379,046/824,904 = 824,904/x
3. Step 3: Cross multiply
   379,046x = 824,904 × 824,904
4. Step 4: Simplify right side
   379,046x = 680,466,609,216
5. Step 5: Solve for x
   x = 680,466,609,216/379,046
6. Step 6: Final answer
   x = 1,795,208.52