Finding the Third Proportional to 188,748 and 407,016

Step by Step Solution

1. Step 1: Write the proportion equation
   188,748 : 407,016 = 407,016 : x
2. Step 2: Convert to fraction form
   188,748/407,016 = 407,016/x
3. Step 3: Cross multiply
   188,748x = 407,016 × 407,016
4. Step 4: Simplify right side
   188,748x = 165,662,024,256
5. Step 5: Solve for x
   x = 165,662,024,256/188,748
6. Step 6: Final answer
   x = 877,688.90