Finding the Third Proportional to 282,141 and 432,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,141 : 432,067.50 = 432,067.50 : x
2. Step 2: Convert to fraction form
   282,141/432,067.50 = 432,067.50/x
3. Step 3: Cross multiply
   282,141x = 432,067.50 × 432,067.50
4. Step 4: Simplify right side
   282,141x = 186,682,324,556.25
5. Step 5: Solve for x
   x = 186,682,324,556.25/282,141
6. Step 6: Final answer
   x = 661,663.23