Finding the Third Proportional to 90,464 and 138,400

Step by Step Solution

1. Step 1: Write the proportion equation
   90,464 : 138,400 = 138,400 : x
2. Step 2: Convert to fraction form
   90,464/138,400 = 138,400/x
3. Step 3: Cross multiply
   90,464x = 138,400 × 138,400
4. Step 4: Simplify right side
   90,464x = 19,154,560,000
5. Step 5: Solve for x
   x = 19,154,560,000/90,464
6. Step 6: Final answer
   x = 211,736.82