Finding the Third Proportional to 156,978 and 224,186

Step by Step Solution

1. Step 1: Write the proportion equation
   156,978 : 224,186 = 224,186 : x
2. Step 2: Convert to fraction form
   156,978/224,186 = 224,186/x
3. Step 3: Cross multiply
   156,978x = 224,186 × 224,186
4. Step 4: Simplify right side
   156,978x = 50,259,362,596
5. Step 5: Solve for x
   x = 50,259,362,596/156,978
6. Step 6: Final answer
   x = 320,168.19