Finding the Third Proportional to 105,984 and 230,375.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,984 : 230,375.25 = 230,375.25 : x
2. Step 2: Convert to fraction form
   105,984/230,375.25 = 230,375.25/x
3. Step 3: Cross multiply
   105,984x = 230,375.25 × 230,375.25
4. Step 4: Simplify right side
   105,984x = 53,072,755,812.56
5. Step 5: Solve for x
   x = 53,072,755,812.56/105,984
6. Step 6: Final answer
   x = 500,761.96