Finding the Third Proportional to 105,026 and 230,461.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,026 : 230,461.75 = 230,461.75 : x
2. Step 2: Convert to fraction form
   105,026/230,461.75 = 230,461.75/x
3. Step 3: Cross multiply
   105,026x = 230,461.75 × 230,461.75
4. Step 4: Simplify right side
   105,026x = 53,112,618,213.06
5. Step 5: Solve for x
   x = 53,112,618,213.06/105,026
6. Step 6: Final answer
   x = 505,709.24