Finding the Third Proportional to 174,934 and 381,522.38

Step by Step Solution

1. Step 1: Write the proportion equation
   174,934 : 381,522.38 = 381,522.38 : x
2. Step 2: Convert to fraction form
   174,934/381,522.38 = 381,522.38/x
3. Step 3: Cross multiply
   174,934x = 381,522.38 × 381,522.38
4. Step 4: Simplify right side
   174,934x = 145,559,322,625.64
5. Step 5: Solve for x
   x = 145,559,322,625.64/174,934
6. Step 6: Final answer
   x = 832,081.37