Finding the Third Proportional to 76,424.50 and 123,810

Step by Step Solution

1. Step 1: Write the proportion equation
   76,424.50 : 123,810 = 123,810 : x
2. Step 2: Convert to fraction form
   76,424.50/123,810 = 123,810/x
3. Step 3: Cross multiply
   76,424.50x = 123,810 × 123,810
4. Step 4: Simplify right side
   76,424.50x = 15,328,916,100
5. Step 5: Solve for x
   x = 15,328,916,100/76,424.50
6. Step 6: Final answer
   x = 200,575.94