Finding the Third Proportional to 150,546 and 206,430.75

Step by Step Solution

1. Step 1: Write the proportion equation
   150,546 : 206,430.75 = 206,430.75 : x
2. Step 2: Convert to fraction form
   150,546/206,430.75 = 206,430.75/x
3. Step 3: Cross multiply
   150,546x = 206,430.75 × 206,430.75
4. Step 4: Simplify right side
   150,546x = 42,613,654,545.56
5. Step 5: Solve for x
   x = 42,613,654,545.56/150,546
6. Step 6: Final answer
   x = 283,060.69