Finding the Third Proportional to 138,322 and 301,772

Step by Step Solution

1. Step 1: Write the proportion equation
   138,322 : 301,772 = 301,772 : x
2. Step 2: Convert to fraction form
   138,322/301,772 = 301,772/x
3. Step 3: Cross multiply
   138,322x = 301,772 × 301,772
4. Step 4: Simplify right side
   138,322x = 91,066,339,984
5. Step 5: Solve for x
   x = 91,066,339,984/138,322
6. Step 6: Final answer
   x = 658,364.83