Finding the Third Proportional to 42,180 and 85,572

Step by Step Solution

1. Step 1: Write the proportion equation
   42,180 : 85,572 = 85,572 : x
2. Step 2: Convert to fraction form
   42,180/85,572 = 85,572/x
3. Step 3: Cross multiply
   42,180x = 85,572 × 85,572
4. Step 4: Simplify right side
   42,180x = 7,322,567,184
5. Step 5: Solve for x
   x = 7,322,567,184/42,180
6. Step 6: Final answer
   x = 173,602.83