Finding the Third Proportional to 111,575 and 156,058

Step by Step Solution

1. Step 1: Write the proportion equation
   111,575 : 156,058 = 156,058 : x
2. Step 2: Convert to fraction form
   111,575/156,058 = 156,058/x
3. Step 3: Cross multiply
   111,575x = 156,058 × 156,058
4. Step 4: Simplify right side
   111,575x = 24,354,099,364
5. Step 5: Solve for x
   x = 24,354,099,364/111,575
6. Step 6: Final answer
   x = 218,275.59