Finding the Third Proportional to 90,138 and 141,396

Step by Step Solution

1. Step 1: Write the proportion equation
   90,138 : 141,396 = 141,396 : x
2. Step 2: Convert to fraction form
   90,138/141,396 = 141,396/x
3. Step 3: Cross multiply
   90,138x = 141,396 × 141,396
4. Step 4: Simplify right side
   90,138x = 19,992,828,816
5. Step 5: Solve for x
   x = 19,992,828,816/90,138
6. Step 6: Final answer
   x = 221,802.45