Finding the Third Proportional to 254,656 and 382,014

Step by Step Solution

1. Step 1: Write the proportion equation
   254,656 : 382,014 = 382,014 : x
2. Step 2: Convert to fraction form
   254,656/382,014 = 382,014/x
3. Step 3: Cross multiply
   254,656x = 382,014 × 382,014
4. Step 4: Simplify right side
   254,656x = 145,934,696,196
5. Step 5: Solve for x
   x = 145,934,696,196/254,656
6. Step 6: Final answer
   x = 573,066.00