Finding the Third Proportional to 100,817 and 152,036

Step by Step Solution

1. Step 1: Write the proportion equation
   100,817 : 152,036 = 152,036 : x
2. Step 2: Convert to fraction form
   100,817/152,036 = 152,036/x
3. Step 3: Cross multiply
   100,817x = 152,036 × 152,036
4. Step 4: Simplify right side
   100,817x = 23,114,945,296
5. Step 5: Solve for x
   x = 23,114,945,296/100,817
6. Step 6: Final answer
   x = 229,276.27