Finding the Third Proportional to 89,927 and 196,985

Step by Step Solution

1. Step 1: Write the proportion equation
   89,927 : 196,985 = 196,985 : x
2. Step 2: Convert to fraction form
   89,927/196,985 = 196,985/x
3. Step 3: Cross multiply
   89,927x = 196,985 × 196,985
4. Step 4: Simplify right side
   89,927x = 38,803,090,225
5. Step 5: Solve for x
   x = 38,803,090,225/89,927
6. Step 6: Final answer
   x = 431,495.44