Finding the Third Proportional to 139,396 and 286,184

Step by Step Solution

1. Step 1: Write the proportion equation
   139,396 : 286,184 = 286,184 : x
2. Step 2: Convert to fraction form
   139,396/286,184 = 286,184/x
3. Step 3: Cross multiply
   139,396x = 286,184 × 286,184
4. Step 4: Simplify right side
   139,396x = 81,901,281,856
5. Step 5: Solve for x
   x = 81,901,281,856/139,396
6. Step 6: Final answer
   x = 587,543.99