Finding the Third Proportional to 123,688 and 178,672

Step by Step Solution

1. Step 1: Write the proportion equation
   123,688 : 178,672 = 178,672 : x
2. Step 2: Convert to fraction form
   123,688/178,672 = 178,672/x
3. Step 3: Cross multiply
   123,688x = 178,672 × 178,672
4. Step 4: Simplify right side
   123,688x = 31,923,683,584
5. Step 5: Solve for x
   x = 31,923,683,584/123,688
6. Step 6: Final answer
   x = 258,098.47