Finding the Third Proportional to 42,632 and 92,758

Step by Step Solution

1. Step 1: Write the proportion equation
   42,632 : 92,758 = 92,758 : x
2. Step 2: Convert to fraction form
   42,632/92,758 = 92,758/x
3. Step 3: Cross multiply
   42,632x = 92,758 × 92,758
4. Step 4: Simplify right side
   42,632x = 8,604,046,564
5. Step 5: Solve for x
   x = 8,604,046,564/42,632
6. Step 6: Final answer
   x = 201,821.32