Finding the Third Proportional to 88,778 and 188,572

Step by Step Solution

1. Step 1: Write the proportion equation
   88,778 : 188,572 = 188,572 : x
2. Step 2: Convert to fraction form
   88,778/188,572 = 188,572/x
3. Step 3: Cross multiply
   88,778x = 188,572 × 188,572
4. Step 4: Simplify right side
   88,778x = 35,559,399,184
5. Step 5: Solve for x
   x = 35,559,399,184/88,778
6. Step 6: Final answer
   x = 400,542.92