Finding the Third Proportional to 103,697 and 152,144

Step by Step Solution

1. Step 1: Write the proportion equation
   103,697 : 152,144 = 152,144 : x
2. Step 2: Convert to fraction form
   103,697/152,144 = 152,144/x
3. Step 3: Cross multiply
   103,697x = 152,144 × 152,144
4. Step 4: Simplify right side
   103,697x = 23,147,796,736
5. Step 5: Solve for x
   x = 23,147,796,736/103,697
6. Step 6: Final answer
   x = 223,225.33