Finding the Third Proportional to 89,730 and 139,329

Step by Step Solution

1. Step 1: Write the proportion equation
   89,730 : 139,329 = 139,329 : x
2. Step 2: Convert to fraction form
   89,730/139,329 = 139,329/x
3. Step 3: Cross multiply
   89,730x = 139,329 × 139,329
4. Step 4: Simplify right side
   89,730x = 19,412,570,241
5. Step 5: Solve for x
   x = 19,412,570,241/89,730
6. Step 6: Final answer
   x = 216,344.26