Finding the Third Proportional to 38,234 and 89,956

Step by Step Solution

1. Step 1: Write the proportion equation
   38,234 : 89,956 = 89,956 : x
2. Step 2: Convert to fraction form
   38,234/89,956 = 89,956/x
3. Step 3: Cross multiply
   38,234x = 89,956 × 89,956
4. Step 4: Simplify right side
   38,234x = 8,092,081,936
5. Step 5: Solve for x
   x = 8,092,081,936/38,234
6. Step 6: Final answer
   x = 211,646.23