Finding the Third Proportional to 141,527 and 206,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   141,527 : 206,456.25 = 206,456.25 : x
2. Step 2: Convert to fraction form
   141,527/206,456.25 = 206,456.25/x
3. Step 3: Cross multiply
   141,527x = 206,456.25 × 206,456.25
4. Step 4: Simplify right side
   141,527x = 42,624,183,164.06
5. Step 5: Solve for x
   x = 42,624,183,164.06/141,527
6. Step 6: Final answer
   x = 301,173.51