Finding the Third Proportional to 188,865 and 294,786

Step by Step Solution

1. Step 1: Write the proportion equation
   188,865 : 294,786 = 294,786 : x
2. Step 2: Convert to fraction form
   188,865/294,786 = 294,786/x
3. Step 3: Cross multiply
   188,865x = 294,786 × 294,786
4. Step 4: Simplify right side
   188,865x = 86,898,785,796
5. Step 5: Solve for x
   x = 86,898,785,796/188,865
6. Step 6: Final answer
   x = 460,110.59