Finding the Third Proportional to 99,633 and 215,864

Step by Step Solution

1. Step 1: Write the proportion equation
   99,633 : 215,864 = 215,864 : x
2. Step 2: Convert to fraction form
   99,633/215,864 = 215,864/x
3. Step 3: Cross multiply
   99,633x = 215,864 × 215,864
4. Step 4: Simplify right side
   99,633x = 46,597,266,496
5. Step 5: Solve for x
   x = 46,597,266,496/99,633
6. Step 6: Final answer
   x = 467,689.08