Finding the Third Proportional to 52,176 and 112,506

Step by Step Solution

1. Step 1: Write the proportion equation
   52,176 : 112,506 = 112,506 : x
2. Step 2: Convert to fraction form
   52,176/112,506 = 112,506/x
3. Step 3: Cross multiply
   52,176x = 112,506 × 112,506
4. Step 4: Simplify right side
   52,176x = 12,657,600,036
5. Step 5: Solve for x
   x = 12,657,600,036/52,176
6. Step 6: Final answer
   x = 242,594.30