Finding the Third Proportional to 42,926 and 89,774

Step by Step Solution

1. Step 1: Write the proportion equation
   42,926 : 89,774 = 89,774 : x
2. Step 2: Convert to fraction form
   42,926/89,774 = 89,774/x
3. Step 3: Cross multiply
   42,926x = 89,774 × 89,774
4. Step 4: Simplify right side
   42,926x = 8,059,371,076
5. Step 5: Solve for x
   x = 8,059,371,076/42,926
6. Step 6: Final answer
   x = 187,750.34