Finding the Third Proportional to 99,786 and 215,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,786 : 215,398.50 = 215,398.50 : x
2. Step 2: Convert to fraction form
   99,786/215,398.50 = 215,398.50/x
3. Step 3: Cross multiply
   99,786x = 215,398.50 × 215,398.50
4. Step 4: Simplify right side
   99,786x = 46,396,513,802.25
5. Step 5: Solve for x
   x = 46,396,513,802.25/99,786
6. Step 6: Final answer
   x = 464,960.15