Finding the Third Proportional to 91,784 and 188,509

Step by Step Solution

1. Step 1: Write the proportion equation
   91,784 : 188,509 = 188,509 : x
2. Step 2: Convert to fraction form
   91,784/188,509 = 188,509/x
3. Step 3: Cross multiply
   91,784x = 188,509 × 188,509
4. Step 4: Simplify right side
   91,784x = 35,535,643,081
5. Step 5: Solve for x
   x = 35,535,643,081/91,784
6. Step 6: Final answer
   x = 387,165.99