Finding the Third Proportional to 420,770 and 591,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   420,770 : 591,842.50 = 591,842.50 : x
2. Step 2: Convert to fraction form
   420,770/591,842.50 = 591,842.50/x
3. Step 3: Cross multiply
   420,770x = 591,842.50 × 591,842.50
4. Step 4: Simplify right side
   420,770x = 350,277,544,806.25
5. Step 5: Solve for x
   x = 350,277,544,806.25/420,770
6. Step 6: Final answer
   x = 832,467.96