Finding the Third Proportional to 129,686.50 and 193,706

Step by Step Solution

1. Step 1: Write the proportion equation
   129,686.50 : 193,706 = 193,706 : x
2. Step 2: Convert to fraction form
   129,686.50/193,706 = 193,706/x
3. Step 3: Cross multiply
   129,686.50x = 193,706 × 193,706
4. Step 4: Simplify right side
   129,686.50x = 37,522,014,436
5. Step 5: Solve for x
   x = 37,522,014,436/129,686.50
6. Step 6: Final answer
   x = 289,328.61