Finding the Third Proportional to 42,768 and 88,263

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 88,263 = 88,263 : x
2. Step 2: Convert to fraction form
   42,768/88,263 = 88,263/x
3. Step 3: Cross multiply
   42,768x = 88,263 × 88,263
4. Step 4: Simplify right side
   42,768x = 7,790,357,169
5. Step 5: Solve for x
   x = 7,790,357,169/42,768
6. Step 6: Final answer
   x = 182,153.88