Finding the Third Proportional to 90,786 and 138,099

Step by Step Solution

1. Step 1: Write the proportion equation
   90,786 : 138,099 = 138,099 : x
2. Step 2: Convert to fraction form
   90,786/138,099 = 138,099/x
3. Step 3: Cross multiply
   90,786x = 138,099 × 138,099
4. Step 4: Simplify right side
   90,786x = 19,071,333,801
5. Step 5: Solve for x
   x = 19,071,333,801/90,786
6. Step 6: Final answer
   x = 210,069.11