Finding the Third Proportional to 157,646.50 and 345,952

Step by Step Solution

1. Step 1: Write the proportion equation
   157,646.50 : 345,952 = 345,952 : x
2. Step 2: Convert to fraction form
   157,646.50/345,952 = 345,952/x
3. Step 3: Cross multiply
   157,646.50x = 345,952 × 345,952
4. Step 4: Simplify right side
   157,646.50x = 119,682,786,304
5. Step 5: Solve for x
   x = 119,682,786,304/157,646.50
6. Step 6: Final answer
   x = 759,184.54