Finding the Third Proportional to 52,172 and 113,659

Step by Step Solution

1. Step 1: Write the proportion equation
   52,172 : 113,659 = 113,659 : x
2. Step 2: Convert to fraction form
   52,172/113,659 = 113,659/x
3. Step 3: Cross multiply
   52,172x = 113,659 × 113,659
4. Step 4: Simplify right side
   52,172x = 12,918,368,281
5. Step 5: Solve for x
   x = 12,918,368,281/52,172
6. Step 6: Final answer
   x = 247,611.14