Finding the Third Proportional to 99,776 and 217,008

Step by Step Solution

1. Step 1: Write the proportion equation
   99,776 : 217,008 = 217,008 : x
2. Step 2: Convert to fraction form
   99,776/217,008 = 217,008/x
3. Step 3: Cross multiply
   99,776x = 217,008 × 217,008
4. Step 4: Simplify right side
   99,776x = 47,092,472,064
5. Step 5: Solve for x
   x = 47,092,472,064/99,776
6. Step 6: Final answer
   x = 471,981.96