Finding the Third Proportional to 111,642 and 156,158

Step by Step Solution

1. Step 1: Write the proportion equation
   111,642 : 156,158 = 156,158 : x
2. Step 2: Convert to fraction form
   111,642/156,158 = 156,158/x
3. Step 3: Cross multiply
   111,642x = 156,158 × 156,158
4. Step 4: Simplify right side
   111,642x = 24,385,320,964
5. Step 5: Solve for x
   x = 24,385,320,964/111,642
6. Step 6: Final answer
   x = 218,424.26