Finding the Third Proportional to 38,123 and 78,844

Step by Step Solution

1. Step 1: Write the proportion equation
   38,123 : 78,844 = 78,844 : x
2. Step 2: Convert to fraction form
   38,123/78,844 = 78,844/x
3. Step 3: Cross multiply
   38,123x = 78,844 × 78,844
4. Step 4: Simplify right side
   38,123x = 6,216,376,336
5. Step 5: Solve for x
   x = 6,216,376,336/38,123
6. Step 6: Final answer
   x = 163,061.05