Finding the Third Proportional to 403,769 and 588,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   403,769 : 588,126.50 = 588,126.50 : x
2. Step 2: Convert to fraction form
   403,769/588,126.50 = 588,126.50/x
3. Step 3: Cross multiply
   403,769x = 588,126.50 × 588,126.50
4. Step 4: Simplify right side
   403,769x = 345,892,780,002.25
5. Step 5: Solve for x
   x = 345,892,780,002.25/403,769
6. Step 6: Final answer
   x = 856,660.07