Finding the Third Proportional to 53,313 and 114,008

Step by Step Solution

1. Step 1: Write the proportion equation
   53,313 : 114,008 = 114,008 : x
2. Step 2: Convert to fraction form
   53,313/114,008 = 114,008/x
3. Step 3: Cross multiply
   53,313x = 114,008 × 114,008
4. Step 4: Simplify right side
   53,313x = 12,997,824,064
5. Step 5: Solve for x
   x = 12,997,824,064/53,313
6. Step 6: Final answer
   x = 243,802.15