Finding the Third Proportional to 116,581 and 209,168

Step by Step Solution

1. Step 1: Write the proportion equation
   116,581 : 209,168 = 209,168 : x
2. Step 2: Convert to fraction form
   116,581/209,168 = 209,168/x
3. Step 3: Cross multiply
   116,581x = 209,168 × 209,168
4. Step 4: Simplify right side
   116,581x = 43,751,252,224
5. Step 5: Solve for x
   x = 43,751,252,224/116,581
6. Step 6: Final answer
   x = 375,286.30