Finding the Third Proportional to 42,385 and 92,054

Step by Step Solution

1. Step 1: Write the proportion equation
   42,385 : 92,054 = 92,054 : x
2. Step 2: Convert to fraction form
   42,385/92,054 = 92,054/x
3. Step 3: Cross multiply
   42,385x = 92,054 × 92,054
4. Step 4: Simplify right side
   42,385x = 8,473,938,916
5. Step 5: Solve for x
   x = 8,473,938,916/42,385
6. Step 6: Final answer
   x = 199,927.78