Finding the Third Proportional to 105,725.57 and 232,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,725.57 : 232,384.25 = 232,384.25 : x
2. Step 2: Convert to fraction form
   105,725.57/232,384.25 = 232,384.25/x
3. Step 3: Cross multiply
   105,725.57x = 232,384.25 × 232,384.25
4. Step 4: Simplify right side
   105,725.57x = 54,002,441,463.56
5. Step 5: Solve for x
   x = 54,002,441,463.56/105,725.57
6. Step 6: Final answer
   x = 510,779.40