Finding the Third Proportional to 175,089 and 341,429

Step by Step Solution

1. Step 1: Write the proportion equation
   175,089 : 341,429 = 341,429 : x
2. Step 2: Convert to fraction form
   175,089/341,429 = 341,429/x
3. Step 3: Cross multiply
   175,089x = 341,429 × 341,429
4. Step 4: Simplify right side
   175,089x = 116,573,762,041
5. Step 5: Solve for x
   x = 116,573,762,041/175,089
6. Step 6: Final answer
   x = 665,797.18