Finding the Third Proportional to 101,085 and 156,956

Step by Step Solution

1. Step 1: Write the proportion equation
   101,085 : 156,956 = 156,956 : x
2. Step 2: Convert to fraction form
   101,085/156,956 = 156,956/x
3. Step 3: Cross multiply
   101,085x = 156,956 × 156,956
4. Step 4: Simplify right side
   101,085x = 24,635,185,936
5. Step 5: Solve for x
   x = 24,635,185,936/101,085
6. Step 6: Final answer
   x = 243,707.63