Finding the Third Proportional to 42,769 and 88,265

Step by Step Solution

1. Step 1: Write the proportion equation
   42,769 : 88,265 = 88,265 : x
2. Step 2: Convert to fraction form
   42,769/88,265 = 88,265/x
3. Step 3: Cross multiply
   42,769x = 88,265 × 88,265
4. Step 4: Simplify right side
   42,769x = 7,790,710,225
5. Step 5: Solve for x
   x = 7,790,710,225/42,769
6. Step 6: Final answer
   x = 182,157.88