Finding the Third Proportional to 349,056 and 512,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   349,056 : 512,494.50 = 512,494.50 : x
2. Step 2: Convert to fraction form
   349,056/512,494.50 = 512,494.50/x
3. Step 3: Cross multiply
   349,056x = 512,494.50 × 512,494.50
4. Step 4: Simplify right side
   349,056x = 262,650,612,530.25
5. Step 5: Solve for x
   x = 262,650,612,530.25/349,056
6. Step 6: Final answer
   x = 752,459.81