Finding the Third Proportional to 380,870 and 559,518

Step by Step Solution

1. Step 1: Write the proportion equation
   380,870 : 559,518 = 559,518 : x
2. Step 2: Convert to fraction form
   380,870/559,518 = 559,518/x
3. Step 3: Cross multiply
   380,870x = 559,518 × 559,518
4. Step 4: Simplify right side
   380,870x = 313,060,392,324
5. Step 5: Solve for x
   x = 313,060,392,324/380,870
6. Step 6: Final answer
   x = 821,961.28