Finding the Third Proportional to 157,577.25 and 345,768

Step by Step Solution

1. Step 1: Write the proportion equation
   157,577.25 : 345,768 = 345,768 : x
2. Step 2: Convert to fraction form
   157,577.25/345,768 = 345,768/x
3. Step 3: Cross multiply
   157,577.25x = 345,768 × 345,768
4. Step 4: Simplify right side
   157,577.25x = 119,555,509,824
5. Step 5: Solve for x
   x = 119,555,509,824/157,577.25
6. Step 6: Final answer
   x = 758,710.47