Finding the Third Proportional to 53,152 and 77,240

Step by Step Solution

1. Step 1: Write the proportion equation
   53,152 : 77,240 = 77,240 : x
2. Step 2: Convert to fraction form
   53,152/77,240 = 77,240/x
3. Step 3: Cross multiply
   53,152x = 77,240 × 77,240
4. Step 4: Simplify right side
   53,152x = 5,966,017,600
5. Step 5: Solve for x
   x = 5,966,017,600/53,152
6. Step 6: Final answer
   x = 112,244.46