Finding the Third Proportional to 105,026.50 and 230,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,026.50 : 230,463.50 = 230,463.50 : x
2. Step 2: Convert to fraction form
   105,026.50/230,463.50 = 230,463.50/x
3. Step 3: Cross multiply
   105,026.50x = 230,463.50 × 230,463.50
4. Step 4: Simplify right side
   105,026.50x = 53,113,424,832.25
5. Step 5: Solve for x
   x = 53,113,424,832.25/105,026.50
6. Step 6: Final answer
   x = 505,714.51