Finding the Third Proportional to 94,176 and 142,224

Step by Step Solution

1. Step 1: Write the proportion equation
   94,176 : 142,224 = 142,224 : x
2. Step 2: Convert to fraction form
   94,176/142,224 = 142,224/x
3. Step 3: Cross multiply
   94,176x = 142,224 × 142,224
4. Step 4: Simplify right side
   94,176x = 20,227,666,176
5. Step 5: Solve for x
   x = 20,227,666,176/94,176
6. Step 6: Final answer
   x = 214,785.79