Finding the Third Proportional to 43,681 and 102,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   43,681 : 102,594.50 = 102,594.50 : x
2. Step 2: Convert to fraction form
   43,681/102,594.50 = 102,594.50/x
3. Step 3: Cross multiply
   43,681x = 102,594.50 × 102,594.50
4. Step 4: Simplify right side
   43,681x = 10,525,631,430.25
5. Step 5: Solve for x
   x = 10,525,631,430.25/43,681
6. Step 6: Final answer
   x = 240,965.90