Finding the Third Proportional to 102,054 and 160,907.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,054 : 160,907.25 = 160,907.25 : x
2. Step 2: Convert to fraction form
   102,054/160,907.25 = 160,907.25/x
3. Step 3: Cross multiply
   102,054x = 160,907.25 × 160,907.25
4. Step 4: Simplify right side
   102,054x = 25,891,143,102.56
5. Step 5: Solve for x
   x = 25,891,143,102.56/102,054
6. Step 6: Final answer
   x = 253,700.42