Finding the Third Proportional to 58,644 and 114,354

Step by Step Solution

1. Step 1: Write the proportion equation
   58,644 : 114,354 = 114,354 : x
2. Step 2: Convert to fraction form
   58,644/114,354 = 114,354/x
3. Step 3: Cross multiply
   58,644x = 114,354 × 114,354
4. Step 4: Simplify right side
   58,644x = 13,076,837,316
5. Step 5: Solve for x
   x = 13,076,837,316/58,644
6. Step 6: Final answer
   x = 222,986.79