Finding the Third Proportional to 72,089 and 158,213

Step by Step Solution

1. Step 1: Write the proportion equation
   72,089 : 158,213 = 158,213 : x
2. Step 2: Convert to fraction form
   72,089/158,213 = 158,213/x
3. Step 3: Cross multiply
   72,089x = 158,213 × 158,213
4. Step 4: Simplify right side
   72,089x = 25,031,353,369
5. Step 5: Solve for x
   x = 25,031,353,369/72,089
6. Step 6: Final answer
   x = 347,228.47