Finding the Third Proportional to 59,823 and 122,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,823 : 122,719.50 = 122,719.50 : x
2. Step 2: Convert to fraction form
   59,823/122,719.50 = 122,719.50/x
3. Step 3: Cross multiply
   59,823x = 122,719.50 × 122,719.50
4. Step 4: Simplify right side
   59,823x = 15,060,075,680.25
5. Step 5: Solve for x
   x = 15,060,075,680.25/59,823
6. Step 6: Final answer
   x = 251,743.91