Finding the Third Proportional to 416,329 and 594,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,329 : 594,913.50 = 594,913.50 : x
2. Step 2: Convert to fraction form
   416,329/594,913.50 = 594,913.50/x
3. Step 3: Cross multiply
   416,329x = 594,913.50 × 594,913.50
4. Step 4: Simplify right side
   416,329x = 353,922,072,482.25
5. Step 5: Solve for x
   x = 353,922,072,482.25/416,329
6. Step 6: Final answer
   x = 850,101.90