Finding the Third Proportional to 42,536 and 88,570

Step by Step Solution

1. Step 1: Write the proportion equation
   42,536 : 88,570 = 88,570 : x
2. Step 2: Convert to fraction form
   42,536/88,570 = 88,570/x
3. Step 3: Cross multiply
   42,536x = 88,570 × 88,570
4. Step 4: Simplify right side
   42,536x = 7,844,644,900
5. Step 5: Solve for x
   x = 7,844,644,900/42,536
6. Step 6: Final answer
   x = 184,423.66