Finding the Third Proportional to 103,675 and 152,111

Step by Step Solution

1. Step 1: Write the proportion equation
   103,675 : 152,111 = 152,111 : x
2. Step 2: Convert to fraction form
   103,675/152,111 = 152,111/x
3. Step 3: Cross multiply
   103,675x = 152,111 × 152,111
4. Step 4: Simplify right side
   103,675x = 23,137,756,321
5. Step 5: Solve for x
   x = 23,137,756,321/103,675
6. Step 6: Final answer
   x = 223,175.85