Finding the Third Proportional to 175,911 and 343,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,911 : 343,072.50 = 343,072.50 : x
2. Step 2: Convert to fraction form
   175,911/343,072.50 = 343,072.50/x
3. Step 3: Cross multiply
   175,911x = 343,072.50 × 343,072.50
4. Step 4: Simplify right side
   175,911x = 117,698,740,256.25
5. Step 5: Solve for x
   x = 117,698,740,256.25/175,911
6. Step 6: Final answer
   x = 669,081.18