Finding the Third Proportional to 42,097 and 92,978

Step by Step Solution

1. Step 1: Write the proportion equation
   42,097 : 92,978 = 92,978 : x
2. Step 2: Convert to fraction form
   42,097/92,978 = 92,978/x
3. Step 3: Cross multiply
   42,097x = 92,978 × 92,978
4. Step 4: Simplify right side
   42,097x = 8,644,908,484
5. Step 5: Solve for x
   x = 8,644,908,484/42,097
6. Step 6: Final answer
   x = 205,356.88