Finding the Third Proportional to 77,710.50 and 160,949.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,710.50 : 160,949.25 = 160,949.25 : x
2. Step 2: Convert to fraction form
   77,710.50/160,949.25 = 160,949.25/x
3. Step 3: Cross multiply
   77,710.50x = 160,949.25 × 160,949.25
4. Step 4: Simplify right side
   77,710.50x = 25,904,661,075.56
5. Step 5: Solve for x
   x = 25,904,661,075.56/77,710.50
6. Step 6: Final answer
   x = 333,348.27