Finding the Third Proportional to 48,742 and 101,314

Step by Step Solution

1. Step 1: Write the proportion equation
   48,742 : 101,314 = 101,314 : x
2. Step 2: Convert to fraction form
   48,742/101,314 = 101,314/x
3. Step 3: Cross multiply
   48,742x = 101,314 × 101,314
4. Step 4: Simplify right side
   48,742x = 10,264,526,596
5. Step 5: Solve for x
   x = 10,264,526,596/48,742
6. Step 6: Final answer
   x = 210,588.95