Finding the Third Proportional to 58,522 and 114,124

Step by Step Solution

1. Step 1: Write the proportion equation
   58,522 : 114,124 = 114,124 : x
2. Step 2: Convert to fraction form
   58,522/114,124 = 114,124/x
3. Step 3: Cross multiply
   58,522x = 114,124 × 114,124
4. Step 4: Simplify right side
   58,522x = 13,024,287,376
5. Step 5: Solve for x
   x = 13,024,287,376/58,522
6. Step 6: Final answer
   x = 222,553.70