Finding the Third Proportional to 152,290 and 334,196

Step by Step Solution

1. Step 1: Write the proportion equation
   152,290 : 334,196 = 334,196 : x
2. Step 2: Convert to fraction form
   152,290/334,196 = 334,196/x
3. Step 3: Cross multiply
   152,290x = 334,196 × 334,196
4. Step 4: Simplify right side
   152,290x = 111,686,966,416
5. Step 5: Solve for x
   x = 111,686,966,416/152,290
6. Step 6: Final answer
   x = 733,383.46