Finding the Third Proportional to 105,029 and 230,468

Step by Step Solution

1. Step 1: Write the proportion equation
   105,029 : 230,468 = 230,468 : x
2. Step 2: Convert to fraction form
   105,029/230,468 = 230,468/x
3. Step 3: Cross multiply
   105,029x = 230,468 × 230,468
4. Step 4: Simplify right side
   105,029x = 53,115,499,024
5. Step 5: Solve for x
   x = 53,115,499,024/105,029
6. Step 6: Final answer
   x = 505,722.22