Finding the Third Proportional to 53,160 and 112,458

Step by Step Solution

1. Step 1: Write the proportion equation
   53,160 : 112,458 = 112,458 : x
2. Step 2: Convert to fraction form
   53,160/112,458 = 112,458/x
3. Step 3: Cross multiply
   53,160x = 112,458 × 112,458
4. Step 4: Simplify right side
   53,160x = 12,646,801,764
5. Step 5: Solve for x
   x = 12,646,801,764/53,160
6. Step 6: Final answer
   x = 237,900.71