Finding the Third Proportional to 105,784.50 and 230,859

Step by Step Solution

1. Step 1: Write the proportion equation
   105,784.50 : 230,859 = 230,859 : x
2. Step 2: Convert to fraction form
   105,784.50/230,859 = 230,859/x
3. Step 3: Cross multiply
   105,784.50x = 230,859 × 230,859
4. Step 4: Simplify right side
   105,784.50x = 53,295,877,881
5. Step 5: Solve for x
   x = 53,295,877,881/105,784.50
6. Step 6: Final answer
   x = 503,815.57