Finding the Third Proportional to 47,535 and 100,506

Step by Step Solution

1. Step 1: Write the proportion equation
   47,535 : 100,506 = 100,506 : x
2. Step 2: Convert to fraction form
   47,535/100,506 = 100,506/x
3. Step 3: Cross multiply
   47,535x = 100,506 × 100,506
4. Step 4: Simplify right side
   47,535x = 10,101,456,036
5. Step 5: Solve for x
   x = 10,101,456,036/47,535
6. Step 6: Final answer
   x = 212,505.65