Finding the Third Proportional to 345,184 and 714,333

Step by Step Solution

1. Step 1: Write the proportion equation
   345,184 : 714,333 = 714,333 : x
2. Step 2: Convert to fraction form
   345,184/714,333 = 714,333/x
3. Step 3: Cross multiply
   345,184x = 714,333 × 714,333
4. Step 4: Simplify right side
   345,184x = 510,271,634,889
5. Step 5: Solve for x
   x = 510,271,634,889/345,184
6. Step 6: Final answer
   x = 1,478,259.81