Finding the Third Proportional to 72,524 and 113,889

Step by Step Solution

1. Step 1: Write the proportion equation
   72,524 : 113,889 = 113,889 : x
2. Step 2: Convert to fraction form
   72,524/113,889 = 113,889/x
3. Step 3: Cross multiply
   72,524x = 113,889 × 113,889
4. Step 4: Simplify right side
   72,524x = 12,970,704,321
5. Step 5: Solve for x
   x = 12,970,704,321/72,524
6. Step 6: Final answer
   x = 178,847.06