Finding the Third Proportional to 90,624 and 138,322

Step by Step Solution

1. Step 1: Write the proportion equation
   90,624 : 138,322 = 138,322 : x
2. Step 2: Convert to fraction form
   90,624/138,322 = 138,322/x
3. Step 3: Cross multiply
   90,624x = 138,322 × 138,322
4. Step 4: Simplify right side
   90,624x = 19,132,975,684
5. Step 5: Solve for x
   x = 19,132,975,684/90,624
6. Step 6: Final answer
   x = 211,124.82