Finding the Third Proportional to 152,112 and 355,440

Step by Step Solution

1. Step 1: Write the proportion equation
   152,112 : 355,440 = 355,440 : x
2. Step 2: Convert to fraction form
   152,112/355,440 = 355,440/x
3. Step 3: Cross multiply
   152,112x = 355,440 × 355,440
4. Step 4: Simplify right side
   152,112x = 126,337,593,600
5. Step 5: Solve for x
   x = 126,337,593,600/152,112
6. Step 6: Final answer
   x = 830,556.39