Finding the Third Proportional to 153,450 and 206,416.69

Step by Step Solution

1. Step 1: Write the proportion equation
   153,450 : 206,416.69 = 206,416.69 : x
2. Step 2: Convert to fraction form
   153,450/206,416.69 = 206,416.69/x
3. Step 3: Cross multiply
   153,450x = 206,416.69 × 206,416.69
4. Step 4: Simplify right side
   153,450x = 42,607,848,878.47
5. Step 5: Solve for x
   x = 42,607,848,878.47/153,450
6. Step 6: Final answer
   x = 277,666.01