Finding the Third Proportional to 472,680 and 714,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   472,680 : 714,646.50 = 714,646.50 : x
2. Step 2: Convert to fraction form
   472,680/714,646.50 = 714,646.50/x
3. Step 3: Cross multiply
   472,680x = 714,646.50 × 714,646.50
4. Step 4: Simplify right side
   472,680x = 510,719,619,962.25
5. Step 5: Solve for x
   x = 510,719,619,962.25/472,680
6. Step 6: Final answer
   x = 1,080,476.47