Finding the Third Proportional to 103,613 and 152,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   103,613 : 152,019.75 = 152,019.75 : x
2. Step 2: Convert to fraction form
   103,613/152,019.75 = 152,019.75/x
3. Step 3: Cross multiply
   103,613x = 152,019.75 × 152,019.75
4. Step 4: Simplify right side
   103,613x = 23,110,004,390.06
5. Step 5: Solve for x
   x = 23,110,004,390.06/103,613
6. Step 6: Final answer
   x = 223,041.55