Finding the Third Proportional to 152,026 and 235,419

Step by Step Solution

1. Step 1: Write the proportion equation
   152,026 : 235,419 = 235,419 : x
2. Step 2: Convert to fraction form
   152,026/235,419 = 235,419/x
3. Step 3: Cross multiply
   152,026x = 235,419 × 235,419
4. Step 4: Simplify right side
   152,026x = 55,422,105,561
5. Step 5: Solve for x
   x = 55,422,105,561/152,026
6. Step 6: Final answer
   x = 364,556.76