Finding the Third Proportional to 381,171.38 and 508,158

Step by Step Solution

1. Step 1: Write the proportion equation
   381,171.38 : 508,158 = 508,158 : x
2. Step 2: Convert to fraction form
   381,171.38/508,158 = 508,158/x
3. Step 3: Cross multiply
   381,171.38x = 508,158 × 508,158
4. Step 4: Simplify right side
   381,171.38x = 258,224,552,964
5. Step 5: Solve for x
   x = 258,224,552,964/381,171.38
6. Step 6: Final answer
   x = 677,450.01