Finding the Third Proportional to 152,074 and 355,345

Step by Step Solution

1. Step 1: Write the proportion equation
   152,074 : 355,345 = 355,345 : x
2. Step 2: Convert to fraction form
   152,074/355,345 = 355,345/x
3. Step 3: Cross multiply
   152,074x = 355,345 × 355,345
4. Step 4: Simplify right side
   152,074x = 126,270,069,025
5. Step 5: Solve for x
   x = 126,270,069,025/152,074
6. Step 6: Final answer
   x = 830,319.90