Finding the Third Proportional to 90,152 and 208,696

Step by Step Solution

1. Step 1: Write the proportion equation
   90,152 : 208,696 = 208,696 : x
2. Step 2: Convert to fraction form
   90,152/208,696 = 208,696/x
3. Step 3: Cross multiply
   90,152x = 208,696 × 208,696
4. Step 4: Simplify right side
   90,152x = 43,554,020,416
5. Step 5: Solve for x
   x = 43,554,020,416/90,152
6. Step 6: Final answer
   x = 483,117.63