Finding the Third Proportional to 103,627 and 152,041

Step by Step Solution

1. Step 1: Write the proportion equation
   103,627 : 152,041 = 152,041 : x
2. Step 2: Convert to fraction form
   103,627/152,041 = 152,041/x
3. Step 3: Cross multiply
   103,627x = 152,041 × 152,041
4. Step 4: Simplify right side
   103,627x = 23,116,465,681
5. Step 5: Solve for x
   x = 23,116,465,681/103,627
6. Step 6: Final answer
   x = 223,073.77