Finding the Third Proportional to 138,592 and 223,200

Step by Step Solution

1. Step 1: Write the proportion equation
   138,592 : 223,200 = 223,200 : x
2. Step 2: Convert to fraction form
   138,592/223,200 = 223,200/x
3. Step 3: Cross multiply
   138,592x = 223,200 × 223,200
4. Step 4: Simplify right side
   138,592x = 49,818,240,000
5. Step 5: Solve for x
   x = 49,818,240,000/138,592
6. Step 6: Final answer
   x = 359,459.71