Finding the Third Proportional to 91,500 and 139,896

Step by Step Solution

1. Step 1: Write the proportion equation
   91,500 : 139,896 = 139,896 : x
2. Step 2: Convert to fraction form
   91,500/139,896 = 139,896/x
3. Step 3: Cross multiply
   91,500x = 139,896 × 139,896
4. Step 4: Simplify right side
   91,500x = 19,570,890,816
5. Step 5: Solve for x
   x = 19,570,890,816/91,500
6. Step 6: Final answer
   x = 213,889.52