Finding the Third Proportional to 190,685.25 and 414,174

Step by Step Solution

1. Step 1: Write the proportion equation
   190,685.25 : 414,174 = 414,174 : x
2. Step 2: Convert to fraction form
   190,685.25/414,174 = 414,174/x
3. Step 3: Cross multiply
   190,685.25x = 414,174 × 414,174
4. Step 4: Simplify right side
   190,685.25x = 171,540,102,276
5. Step 5: Solve for x
   x = 171,540,102,276/190,685.25
6. Step 6: Final answer
   x = 899,598.17