Finding the Third Proportional to 409,388,108.63 and 585,429,499.41

Step by Step Solution

1. Step 1: Write the proportion equation
   409,388,108.63 : 585,429,499.41 = 585,429,499.41 : x
2. Step 2: Convert to fraction form
   409,388,108.63/585,429,499.41 = 585,429,499.41/x
3. Step 3: Cross multiply
   409,388,108.63x = 585,429,499.41 × 585,429,499.41
4. Step 4: Simplify right side
   409,388,108.63x = 342,727,698,775,040,768
5. Step 5: Solve for x
   x = 342,727,698,775,040,768/409,388,108.63
6. Step 6: Final answer
   x = 837,170,625.02