Finding the Third Proportional to 103,616 and 152,009

Step by Step Solution

1. Step 1: Write the proportion equation
   103,616 : 152,009 = 152,009 : x
2. Step 2: Convert to fraction form
   103,616/152,009 = 152,009/x
3. Step 3: Cross multiply
   103,616x = 152,009 × 152,009
4. Step 4: Simplify right side
   103,616x = 23,106,736,081
5. Step 5: Solve for x
   x = 23,106,736,081/103,616
6. Step 6: Final answer
   x = 223,003.55