Finding the Third Proportional to 91,781 and 188,502

Step by Step Solution

1. Step 1: Write the proportion equation
   91,781 : 188,502 = 188,502 : x
2. Step 2: Convert to fraction form
   91,781/188,502 = 188,502/x
3. Step 3: Cross multiply
   91,781x = 188,502 × 188,502
4. Step 4: Simplify right side
   91,781x = 35,533,004,004
5. Step 5: Solve for x
   x = 35,533,004,004/91,781
6. Step 6: Final answer
   x = 387,149.89