Finding the Third Proportional to 50,506 and 75,446

Step by Step Solution

1. Step 1: Write the proportion equation
   50,506 : 75,446 = 75,446 : x
2. Step 2: Convert to fraction form
   50,506/75,446 = 75,446/x
3. Step 3: Cross multiply
   50,506x = 75,446 × 75,446
4. Step 4: Simplify right side
   50,506x = 5,692,098,916
5. Step 5: Solve for x
   x = 5,692,098,916/50,506
6. Step 6: Final answer
   x = 112,701.44