Finding the Third Proportional to 112,692 and 175,506

Step by Step Solution

1. Step 1: Write the proportion equation
   112,692 : 175,506 = 175,506 : x
2. Step 2: Convert to fraction form
   112,692/175,506 = 175,506/x
3. Step 3: Cross multiply
   112,692x = 175,506 × 175,506
4. Step 4: Simplify right side
   112,692x = 30,802,356,036
5. Step 5: Solve for x
   x = 30,802,356,036/112,692
6. Step 6: Final answer
   x = 273,332.23