Finding the Third Proportional to 67,827 and 103,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,827 : 103,756.50 = 103,756.50 : x
2. Step 2: Convert to fraction form
   67,827/103,756.50 = 103,756.50/x
3. Step 3: Cross multiply
   67,827x = 103,756.50 × 103,756.50
4. Step 4: Simplify right side
   67,827x = 10,765,411,292.25
5. Step 5: Solve for x
   x = 10,765,411,292.25/67,827
6. Step 6: Final answer
   x = 158,718.67