Finding the Third Proportional to 72,978.50 and 157,952

Step by Step Solution

1. Step 1: Write the proportion equation
   72,978.50 : 157,952 = 157,952 : x
2. Step 2: Convert to fraction form
   72,978.50/157,952 = 157,952/x
3. Step 3: Cross multiply
   72,978.50x = 157,952 × 157,952
4. Step 4: Simplify right side
   72,978.50x = 24,948,834,304
5. Step 5: Solve for x
   x = 24,948,834,304/72,978.50
6. Step 6: Final answer
   x = 341,865.54