Finding the Third Proportional to 157,659 and 345,978

Step by Step Solution

1. Step 1: Write the proportion equation
   157,659 : 345,978 = 345,978 : x
2. Step 2: Convert to fraction form
   157,659/345,978 = 345,978/x
3. Step 3: Cross multiply
   157,659x = 345,978 × 345,978
4. Step 4: Simplify right side
   157,659x = 119,700,776,484
5. Step 5: Solve for x
   x = 119,700,776,484/157,659
6. Step 6: Final answer
   x = 759,238.46