Finding the Third Proportional to 222,142.50 and 335,178

Step by Step Solution

1. Step 1: Write the proportion equation
   222,142.50 : 335,178 = 335,178 : x
2. Step 2: Convert to fraction form
   222,142.50/335,178 = 335,178/x
3. Step 3: Cross multiply
   222,142.50x = 335,178 × 335,178
4. Step 4: Simplify right side
   222,142.50x = 112,344,291,684
5. Step 5: Solve for x
   x = 112,344,291,684/222,142.50
6. Step 6: Final answer
   x = 505,730.74