Finding the Third Proportional to 254,802 and 382,140

Step by Step Solution

1. Step 1: Write the proportion equation
   254,802 : 382,140 = 382,140 : x
2. Step 2: Convert to fraction form
   254,802/382,140 = 382,140/x
3. Step 3: Cross multiply
   254,802x = 382,140 × 382,140
4. Step 4: Simplify right side
   254,802x = 146,030,979,600
5. Step 5: Solve for x
   x = 146,030,979,600/254,802
6. Step 6: Final answer
   x = 573,115.52