Finding the Third Proportional to 42,164 and 89,532

Step by Step Solution

1. Step 1: Write the proportion equation
   42,164 : 89,532 = 89,532 : x
2. Step 2: Convert to fraction form
   42,164/89,532 = 89,532/x
3. Step 3: Cross multiply
   42,164x = 89,532 × 89,532
4. Step 4: Simplify right side
   42,164x = 8,015,979,024
5. Step 5: Solve for x
   x = 8,015,979,024/42,164
6. Step 6: Final answer
   x = 190,114.29