Finding the Third Proportional to 99,592 and 215,928

Step by Step Solution

1. Step 1: Write the proportion equation
   99,592 : 215,928 = 215,928 : x
2. Step 2: Convert to fraction form
   99,592/215,928 = 215,928/x
3. Step 3: Cross multiply
   99,592x = 215,928 × 215,928
4. Step 4: Simplify right side
   99,592x = 46,624,901,184
5. Step 5: Solve for x
   x = 46,624,901,184/99,592
6. Step 6: Final answer
   x = 468,159.10