Finding the Third Proportional to 407,925 and 587,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,925 : 587,533.50 = 587,533.50 : x
2. Step 2: Convert to fraction form
   407,925/587,533.50 = 587,533.50/x
3. Step 3: Cross multiply
   407,925x = 587,533.50 × 587,533.50
4. Step 4: Simplify right side
   407,925x = 345,195,613,622.25
5. Step 5: Solve for x
   x = 345,195,613,622.25/407,925
6. Step 6: Final answer
   x = 846,223.24