Finding the Third Proportional to 144,078 and 207,546.75

Step by Step Solution

1. Step 1: Write the proportion equation
   144,078 : 207,546.75 = 207,546.75 : x
2. Step 2: Convert to fraction form
   144,078/207,546.75 = 207,546.75/x
3. Step 3: Cross multiply
   144,078x = 207,546.75 × 207,546.75
4. Step 4: Simplify right side
   144,078x = 43,075,653,435.56
5. Step 5: Solve for x
   x = 43,075,653,435.56/144,078
6. Step 6: Final answer
   x = 298,974.54