Finding the Third Proportional to 420,788 and 591,870

Step by Step Solution

1. Step 1: Write the proportion equation
   420,788 : 591,870 = 591,870 : x
2. Step 2: Convert to fraction form
   420,788/591,870 = 591,870/x
3. Step 3: Cross multiply
   420,788x = 591,870 × 591,870
4. Step 4: Simplify right side
   420,788x = 350,310,096,900
5. Step 5: Solve for x
   x = 350,310,096,900/420,788
6. Step 6: Final answer
   x = 832,509.71