Finding the Third Proportional to 90,882 and 139,509

Step by Step Solution

1. Step 1: Write the proportion equation
   90,882 : 139,509 = 139,509 : x
2. Step 2: Convert to fraction form
   90,882/139,509 = 139,509/x
3. Step 3: Cross multiply
   90,882x = 139,509 × 139,509
4. Step 4: Simplify right side
   90,882x = 19,462,761,081
5. Step 5: Solve for x
   x = 19,462,761,081/90,882
6. Step 6: Final answer
   x = 214,154.19