Finding the Third Proportional to 58,506 and 114,096

Step by Step Solution

1. Step 1: Write the proportion equation
   58,506 : 114,096 = 114,096 : x
2. Step 2: Convert to fraction form
   58,506/114,096 = 114,096/x
3. Step 3: Cross multiply
   58,506x = 114,096 × 114,096
4. Step 4: Simplify right side
   58,506x = 13,017,897,216
5. Step 5: Solve for x
   x = 13,017,897,216/58,506
6. Step 6: Final answer
   x = 222,505.34