Finding the Third Proportional to 105,232.50 and 230,838

Step by Step Solution

1. Step 1: Write the proportion equation
   105,232.50 : 230,838 = 230,838 : x
2. Step 2: Convert to fraction form
   105,232.50/230,838 = 230,838/x
3. Step 3: Cross multiply
   105,232.50x = 230,838 × 230,838
4. Step 4: Simplify right side
   105,232.50x = 53,286,182,244
5. Step 5: Solve for x
   x = 53,286,182,244/105,232.50
6. Step 6: Final answer
   x = 506,366.21