Finding the Third Proportional to 140,752 and 205,657

Step by Step Solution

1. Step 1: Write the proportion equation
   140,752 : 205,657 = 205,657 : x
2. Step 2: Convert to fraction form
   140,752/205,657 = 205,657/x
3. Step 3: Cross multiply
   140,752x = 205,657 × 205,657
4. Step 4: Simplify right side
   140,752x = 42,294,801,649
5. Step 5: Solve for x
   x = 42,294,801,649/140,752
6. Step 6: Final answer
   x = 300,491.66