Finding the Third Proportional to 48,908 and 101,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,908 : 101,642.50 = 101,642.50 : x
2. Step 2: Convert to fraction form
   48,908/101,642.50 = 101,642.50/x
3. Step 3: Cross multiply
   48,908x = 101,642.50 × 101,642.50
4. Step 4: Simplify right side
   48,908x = 10,331,197,806.25
5. Step 5: Solve for x
   x = 10,331,197,806.25/48,908
6. Step 6: Final answer
   x = 211,237.38