Finding the Third Proportional to 99,460 and 216,410

Step by Step Solution

1. Step 1: Write the proportion equation
   99,460 : 216,410 = 216,410 : x
2. Step 2: Convert to fraction form
   99,460/216,410 = 216,410/x
3. Step 3: Cross multiply
   99,460x = 216,410 × 216,410
4. Step 4: Simplify right side
   99,460x = 46,833,288,100
5. Step 5: Solve for x
   x = 46,833,288,100/99,460
6. Step 6: Final answer
   x = 470,875.61