Finding the Third Proportional to 48,264 and 101,784

Step by Step Solution

1. Step 1: Write the proportion equation
   48,264 : 101,784 = 101,784 : x
2. Step 2: Convert to fraction form
   48,264/101,784 = 101,784/x
3. Step 3: Cross multiply
   48,264x = 101,784 × 101,784
4. Step 4: Simplify right side
   48,264x = 10,359,982,656
5. Step 5: Solve for x
   x = 10,359,982,656/48,264
6. Step 6: Final answer
   x = 214,652.38