Finding the Third Proportional to 55,746 and 114,210

Step by Step Solution

1. Step 1: Write the proportion equation
   55,746 : 114,210 = 114,210 : x
2. Step 2: Convert to fraction form
   55,746/114,210 = 114,210/x
3. Step 3: Cross multiply
   55,746x = 114,210 × 114,210
4. Step 4: Simplify right side
   55,746x = 13,043,924,100
5. Step 5: Solve for x
   x = 13,043,924,100/55,746
6. Step 6: Final answer
   x = 233,988.52