Finding the Third Proportional to 90,458 and 138,036

Step by Step Solution

1. Step 1: Write the proportion equation
   90,458 : 138,036 = 138,036 : x
2. Step 2: Convert to fraction form
   90,458/138,036 = 138,036/x
3. Step 3: Cross multiply
   90,458x = 138,036 × 138,036
4. Step 4: Simplify right side
   90,458x = 19,053,937,296
5. Step 5: Solve for x
   x = 19,053,937,296/90,458
6. Step 6: Final answer
   x = 210,638.50