Finding the Third Proportional to 71,978.63 and 157,059

Step by Step Solution

1. Step 1: Write the proportion equation
   71,978.63 : 157,059 = 157,059 : x
2. Step 2: Convert to fraction form
   71,978.63/157,059 = 157,059/x
3. Step 3: Cross multiply
   71,978.63x = 157,059 × 157,059
4. Step 4: Simplify right side
   71,978.63x = 24,667,529,481
5. Step 5: Solve for x
   x = 24,667,529,481/71,978.63
6. Step 6: Final answer
   x = 342,706.32