Finding the Third Proportional to 334,908 and 477,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,908 : 477,454.50 = 477,454.50 : x
2. Step 2: Convert to fraction form
   334,908/477,454.50 = 477,454.50/x
3. Step 3: Cross multiply
   334,908x = 477,454.50 × 477,454.50
4. Step 4: Simplify right side
   334,908x = 227,962,799,570.25
5. Step 5: Solve for x
   x = 227,962,799,570.25/334,908
6. Step 6: Final answer
   x = 680,672.90