Finding the Third Proportional to 94,116 and 206,892

Step by Step Solution

1. Step 1: Write the proportion equation
   94,116 : 206,892 = 206,892 : x
2. Step 2: Convert to fraction form
   94,116/206,892 = 206,892/x
3. Step 3: Cross multiply
   94,116x = 206,892 × 206,892
4. Step 4: Simplify right side
   94,116x = 42,804,299,664
5. Step 5: Solve for x
   x = 42,804,299,664/94,116
6. Step 6: Final answer
   x = 454,803.64