Finding the Third Proportional to 100,046 and 152,609

Step by Step Solution

1. Step 1: Write the proportion equation
   100,046 : 152,609 = 152,609 : x
2. Step 2: Convert to fraction form
   100,046/152,609 = 152,609/x
3. Step 3: Cross multiply
   100,046x = 152,609 × 152,609
4. Step 4: Simplify right side
   100,046x = 23,289,506,881
5. Step 5: Solve for x
   x = 23,289,506,881/100,046
6. Step 6: Final answer
   x = 232,787.99