Finding the Third Proportional to 100,042 and 152,603

Step by Step Solution

1. Step 1: Write the proportion equation
   100,042 : 152,603 = 152,603 : x
2. Step 2: Convert to fraction form
   100,042/152,603 = 152,603/x
3. Step 3: Cross multiply
   100,042x = 152,603 × 152,603
4. Step 4: Simplify right side
   100,042x = 23,287,675,609
5. Step 5: Solve for x
   x = 23,287,675,609/100,042
6. Step 6: Final answer
   x = 232,778.99