Finding the Third Proportional to 71,832 and 113,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,832 : 113,686.50 = 113,686.50 : x
2. Step 2: Convert to fraction form
   71,832/113,686.50 = 113,686.50/x
3. Step 3: Cross multiply
   71,832x = 113,686.50 × 113,686.50
4. Step 4: Simplify right side
   71,832x = 12,924,620,282.25
5. Step 5: Solve for x
   x = 12,924,620,282.25/71,832
6. Step 6: Final answer
   x = 179,928.45