Finding the Third Proportional to 103,682 and 152,121

Step by Step Solution

1. Step 1: Write the proportion equation
   103,682 : 152,121 = 152,121 : x
2. Step 2: Convert to fraction form
   103,682/152,121 = 152,121/x
3. Step 3: Cross multiply
   103,682x = 152,121 × 152,121
4. Step 4: Simplify right side
   103,682x = 23,140,798,641
5. Step 5: Solve for x
   x = 23,140,798,641/103,682
6. Step 6: Final answer
   x = 223,190.13