Finding the Third Proportional to 100,819 and 152,039

Step by Step Solution

1. Step 1: Write the proportion equation
   100,819 : 152,039 = 152,039 : x
2. Step 2: Convert to fraction form
   100,819/152,039 = 152,039/x
3. Step 3: Cross multiply
   100,819x = 152,039 × 152,039
4. Step 4: Simplify right side
   100,819x = 23,115,857,521
5. Step 5: Solve for x
   x = 23,115,857,521/100,819
6. Step 6: Final answer
   x = 229,280.77