Finding the Third Proportional to 103,628 and 152,043

Step by Step Solution

1. Step 1: Write the proportion equation
   103,628 : 152,043 = 152,043 : x
2. Step 2: Convert to fraction form
   103,628/152,043 = 152,043/x
3. Step 3: Cross multiply
   103,628x = 152,043 × 152,043
4. Step 4: Simplify right side
   103,628x = 23,117,073,849
5. Step 5: Solve for x
   x = 23,117,073,849/103,628
6. Step 6: Final answer
   x = 223,077.49