Finding the Third Proportional to 102,182 and 156,945

Step by Step Solution

1. Step 1: Write the proportion equation
   102,182 : 156,945 = 156,945 : x
2. Step 2: Convert to fraction form
   102,182/156,945 = 156,945/x
3. Step 3: Cross multiply
   102,182x = 156,945 × 156,945
4. Step 4: Simplify right side
   102,182x = 24,631,733,025
5. Step 5: Solve for x
   x = 24,631,733,025/102,182
6. Step 6: Final answer
   x = 241,057.46