Finding the Third Proportional to 102,255 and 238,822

Step by Step Solution

1. Step 1: Write the proportion equation
   102,255 : 238,822 = 238,822 : x
2. Step 2: Convert to fraction form
   102,255/238,822 = 238,822/x
3. Step 3: Cross multiply
   102,255x = 238,822 × 238,822
4. Step 4: Simplify right side
   102,255x = 57,035,947,684
5. Step 5: Solve for x
   x = 57,035,947,684/102,255
6. Step 6: Final answer
   x = 557,781.50