Finding the Third Proportional to 53,870 and 114,548

Step by Step Solution

1. Step 1: Write the proportion equation
   53,870 : 114,548 = 114,548 : x
2. Step 2: Convert to fraction form
   53,870/114,548 = 114,548/x
3. Step 3: Cross multiply
   53,870x = 114,548 × 114,548
4. Step 4: Simplify right side
   53,870x = 13,121,244,304
5. Step 5: Solve for x
   x = 13,121,244,304/53,870
6. Step 6: Final answer
   x = 243,572.38