Finding the Third Proportional to 172,436 and 266,034

Step by Step Solution

1. Step 1: Write the proportion equation
   172,436 : 266,034 = 266,034 : x
2. Step 2: Convert to fraction form
   172,436/266,034 = 266,034/x
3. Step 3: Cross multiply
   172,436x = 266,034 × 266,034
4. Step 4: Simplify right side
   172,436x = 70,774,089,156
5. Step 5: Solve for x
   x = 70,774,089,156/172,436
6. Step 6: Final answer
   x = 410,436.85