Finding the Third Proportional to 54,364 and 114,632

Step by Step Solution

1. Step 1: Write the proportion equation
   54,364 : 114,632 = 114,632 : x
2. Step 2: Convert to fraction form
   54,364/114,632 = 114,632/x
3. Step 3: Cross multiply
   54,364x = 114,632 × 114,632
4. Step 4: Simplify right side
   54,364x = 13,140,495,424
5. Step 5: Solve for x
   x = 13,140,495,424/54,364
6. Step 6: Final answer
   x = 241,713.18