Finding the Third Proportional to 425,769 and 591,994.50

Step by Step Solution

1. Step 1: Write the proportion equation
   425,769 : 591,994.50 = 591,994.50 : x
2. Step 2: Convert to fraction form
   425,769/591,994.50 = 591,994.50/x
3. Step 3: Cross multiply
   425,769x = 591,994.50 × 591,994.50
4. Step 4: Simplify right side
   425,769x = 350,457,488,030.25
5. Step 5: Solve for x
   x = 350,457,488,030.25/425,769
6. Step 6: Final answer
   x = 823,116.50