Finding the Third Proportional to 42,088 and 92,093

Step by Step Solution

1. Step 1: Write the proportion equation
   42,088 : 92,093 = 92,093 : x
2. Step 2: Convert to fraction form
   42,088/92,093 = 92,093/x
3. Step 3: Cross multiply
   42,088x = 92,093 × 92,093
4. Step 4: Simplify right side
   42,088x = 8,481,120,649
5. Step 5: Solve for x
   x = 8,481,120,649/42,088
6. Step 6: Final answer
   x = 201,509.23