Finding the Third Proportional to 42,644 and 88,024

Step by Step Solution

1. Step 1: Write the proportion equation
   42,644 : 88,024 = 88,024 : x
2. Step 2: Convert to fraction form
   42,644/88,024 = 88,024/x
3. Step 3: Cross multiply
   42,644x = 88,024 × 88,024
4. Step 4: Simplify right side
   42,644x = 7,748,224,576
5. Step 5: Solve for x
   x = 7,748,224,576/42,644
6. Step 6: Final answer
   x = 181,695.54