Finding the Third Proportional to 156,978 and 223,627

Step by Step Solution

1. Step 1: Write the proportion equation
   156,978 : 223,627 = 223,627 : x
2. Step 2: Convert to fraction form
   156,978/223,627 = 223,627/x
3. Step 3: Cross multiply
   156,978x = 223,627 × 223,627
4. Step 4: Simplify right side
   156,978x = 50,009,035,129
5. Step 5: Solve for x
   x = 50,009,035,129/156,978
6. Step 6: Final answer
   x = 318,573.53