Finding the Third Proportional to 563,896 and 830,264

Step by Step Solution

1. Step 1: Write the proportion equation
   563,896 : 830,264 = 830,264 : x
2. Step 2: Convert to fraction form
   563,896/830,264 = 830,264/x
3. Step 3: Cross multiply
   563,896x = 830,264 × 830,264
4. Step 4: Simplify right side
   563,896x = 689,338,309,696
5. Step 5: Solve for x
   x = 689,338,309,696/563,896
6. Step 6: Final answer
   x = 1,222,456.46