Finding the Third Proportional to 156,986 and 235,123

Step by Step Solution

1. Step 1: Write the proportion equation
   156,986 : 235,123 = 235,123 : x
2. Step 2: Convert to fraction form
   156,986/235,123 = 235,123/x
3. Step 3: Cross multiply
   156,986x = 235,123 × 235,123
4. Step 4: Simplify right side
   156,986x = 55,282,825,129
5. Step 5: Solve for x
   x = 55,282,825,129/156,986
6. Step 6: Final answer
   x = 352,151.31