Finding the Third Proportional to 94,827 and 208,746

Step by Step Solution

1. Step 1: Write the proportion equation
   94,827 : 208,746 = 208,746 : x
2. Step 2: Convert to fraction form
   94,827/208,746 = 208,746/x
3. Step 3: Cross multiply
   94,827x = 208,746 × 208,746
4. Step 4: Simplify right side
   94,827x = 43,574,892,516
5. Step 5: Solve for x
   x = 43,574,892,516/94,827
6. Step 6: Final answer
   x = 459,519.89