Finding the Third Proportional to 152,556 and 238,128

Step by Step Solution

1. Step 1: Write the proportion equation
   152,556 : 238,128 = 238,128 : x
2. Step 2: Convert to fraction form
   152,556/238,128 = 238,128/x
3. Step 3: Cross multiply
   152,556x = 238,128 × 238,128
4. Step 4: Simplify right side
   152,556x = 56,704,944,384
5. Step 5: Solve for x
   x = 56,704,944,384/152,556
6. Step 6: Final answer
   x = 371,699.21