Finding the Third Proportional to 116,352 and 174,528

Step by Step Solution

1. Step 1: Write the proportion equation
   116,352 : 174,528 = 174,528 : x
2. Step 2: Convert to fraction form
   116,352/174,528 = 174,528/x
3. Step 3: Cross multiply
   116,352x = 174,528 × 174,528
4. Step 4: Simplify right side
   116,352x = 30,460,022,784
5. Step 5: Solve for x
   x = 30,460,022,784/116,352
6. Step 6: Final answer
   x = 261,792