Finding the Third Proportional to 677,214 and 1,410,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   677,214 : 1,410,475.50 = 1,410,475.50 : x
2. Step 2: Convert to fraction form
   677,214/1,410,475.50 = 1,410,475.50/x
3. Step 3: Cross multiply
   677,214x = 1,410,475.50 × 1,410,475.50
4. Step 4: Simplify right side
   677,214x = 1,989,441,136,100.25
5. Step 5: Solve for x
   x = 1,989,441,136,100.25/677,214
6. Step 6: Final answer
   x = 2,937,684.60