Finding the Third Proportional to 356,904 and 521,946

Step by Step Solution

1. Step 1: Write the proportion equation
   356,904 : 521,946 = 521,946 : x
2. Step 2: Convert to fraction form
   356,904/521,946 = 521,946/x
3. Step 3: Cross multiply
   356,904x = 521,946 × 521,946
4. Step 4: Simplify right side
   356,904x = 272,427,626,916
5. Step 5: Solve for x
   x = 272,427,626,916/356,904
6. Step 6: Final answer
   x = 763,307.86