Finding the Third Proportional to 519,870 and 761,780

Step by Step Solution

1. Step 1: Write the proportion equation
   519,870 : 761,780 = 761,780 : x
2. Step 2: Convert to fraction form
   519,870/761,780 = 761,780/x
3. Step 3: Cross multiply
   519,870x = 761,780 × 761,780
4. Step 4: Simplify right side
   519,870x = 580,308,768,400
5. Step 5: Solve for x
   x = 580,308,768,400/519,870
6. Step 6: Final answer
   x = 1,116,257.47