Finding the Third Proportional to 141,534 and 206,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,534 : 206,464.50 = 206,464.50 : x
2. Step 2: Convert to fraction form
   141,534/206,464.50 = 206,464.50/x
3. Step 3: Cross multiply
   141,534x = 206,464.50 × 206,464.50
4. Step 4: Simplify right side
   141,534x = 42,627,589,760.25
5. Step 5: Solve for x
   x = 42,627,589,760.25/141,534
6. Step 6: Final answer
   x = 301,182.68