Finding the Third Proportional to 430,920 and 579,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   430,920 : 579,676.50 = 579,676.50 : x
2. Step 2: Convert to fraction form
   430,920/579,676.50 = 579,676.50/x
3. Step 3: Cross multiply
   430,920x = 579,676.50 × 579,676.50
4. Step 4: Simplify right side
   430,920x = 336,024,844,652.25
5. Step 5: Solve for x
   x = 336,024,844,652.25/430,920
6. Step 6: Final answer
   x = 779,784.75