Finding the Third Proportional to 300,194 and 456,480

Step by Step Solution

1. Step 1: Write the proportion equation
   300,194 : 456,480 = 456,480 : x
2. Step 2: Convert to fraction form
   300,194/456,480 = 456,480/x
3. Step 3: Cross multiply
   300,194x = 456,480 × 456,480
4. Step 4: Simplify right side
   300,194x = 208,373,990,400
5. Step 5: Solve for x
   x = 208,373,990,400/300,194
6. Step 6: Final answer
   x = 694,131.10