Finding the Third Proportional to 139,584 and 286,560

Step by Step Solution

1. Step 1: Write the proportion equation
   139,584 : 286,560 = 286,560 : x
2. Step 2: Convert to fraction form
   139,584/286,560 = 286,560/x
3. Step 3: Cross multiply
   139,584x = 286,560 × 286,560
4. Step 4: Simplify right side
   139,584x = 82,116,633,600
5. Step 5: Solve for x
   x = 82,116,633,600/139,584
6. Step 6: Final answer
   x = 588,295.46