Finding the Third Proportional to 188,196.75 and 405,945

Step by Step Solution

1. Step 1: Write the proportion equation
   188,196.75 : 405,945 = 405,945 : x
2. Step 2: Convert to fraction form
   188,196.75/405,945 = 405,945/x
3. Step 3: Cross multiply
   188,196.75x = 405,945 × 405,945
4. Step 4: Simplify right side
   188,196.75x = 164,791,343,025
5. Step 5: Solve for x
   x = 164,791,343,025/188,196.75
6. Step 6: Final answer
   x = 875,633.31