Finding the Third Proportional to 71,224 and 103,164

Step by Step Solution

1. Step 1: Write the proportion equation
   71,224 : 103,164 = 103,164 : x
2. Step 2: Convert to fraction form
   71,224/103,164 = 103,164/x
3. Step 3: Cross multiply
   71,224x = 103,164 × 103,164
4. Step 4: Simplify right side
   71,224x = 10,642,810,896
5. Step 5: Solve for x
   x = 10,642,810,896/71,224
6. Step 6: Final answer
   x = 149,427.31