Finding the Third Proportional to 48,735 and 101,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,735 : 101,299.50 = 101,299.50 : x
2. Step 2: Convert to fraction form
   48,735/101,299.50 = 101,299.50/x
3. Step 3: Cross multiply
   48,735x = 101,299.50 × 101,299.50
4. Step 4: Simplify right side
   48,735x = 10,261,588,700.25
5. Step 5: Solve for x
   x = 10,261,588,700.25/48,735
6. Step 6: Final answer
   x = 210,558.91