Finding the Third Proportional to 140,546 and 302,584

Step by Step Solution

1. Step 1: Write the proportion equation
   140,546 : 302,584 = 302,584 : x
2. Step 2: Convert to fraction form
   140,546/302,584 = 302,584/x
3. Step 3: Cross multiply
   140,546x = 302,584 × 302,584
4. Step 4: Simplify right side
   140,546x = 91,557,077,056
5. Step 5: Solve for x
   x = 91,557,077,056/140,546
6. Step 6: Final answer
   x = 651,438.51