Finding the Third Proportional to 216,789 and 463,710

Step by Step Solution

1. Step 1: Write the proportion equation
   216,789 : 463,710 = 463,710 : x
2. Step 2: Convert to fraction form
   216,789/463,710 = 463,710/x
3. Step 3: Cross multiply
   216,789x = 463,710 × 463,710
4. Step 4: Simplify right side
   216,789x = 215,026,964,100
5. Step 5: Solve for x
   x = 215,026,964,100/216,789
6. Step 6: Final answer
   x = 991,872.12