Finding the Third Proportional to 103,614 and 152,006

Step by Step Solution

1. Step 1: Write the proportion equation
   103,614 : 152,006 = 152,006 : x
2. Step 2: Convert to fraction form
   103,614/152,006 = 152,006/x
3. Step 3: Cross multiply
   103,614x = 152,006 × 152,006
4. Step 4: Simplify right side
   103,614x = 23,105,824,036
5. Step 5: Solve for x
   x = 23,105,824,036/103,614
6. Step 6: Final answer
   x = 222,999.05