Finding the Third Proportional to 364,834.50 and 582,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,834.50 : 582,814.50 = 582,814.50 : x
2. Step 2: Convert to fraction form
   364,834.50/582,814.50 = 582,814.50/x
3. Step 3: Cross multiply
   364,834.50x = 582,814.50 × 582,814.50
4. Step 4: Simplify right side
   364,834.50x = 339,672,741,410.25
5. Step 5: Solve for x
   x = 339,672,741,410.25/364,834.50
6. Step 6: Final answer
   x = 931,032.40