Finding the Third Proportional to 58,172 and 120,662

Step by Step Solution

1. Step 1: Write the proportion equation
   58,172 : 120,662 = 120,662 : x
2. Step 2: Convert to fraction form
   58,172/120,662 = 120,662/x
3. Step 3: Cross multiply
   58,172x = 120,662 × 120,662
4. Step 4: Simplify right side
   58,172x = 14,559,318,244
5. Step 5: Solve for x
   x = 14,559,318,244/58,172
6. Step 6: Final answer
   x = 250,280.52