Finding the Third Proportional to 120,224 and 187,142

Step by Step Solution

1. Step 1: Write the proportion equation
   120,224 : 187,142 = 187,142 : x
2. Step 2: Convert to fraction form
   120,224/187,142 = 187,142/x
3. Step 3: Cross multiply
   120,224x = 187,142 × 187,142
4. Step 4: Simplify right side
   120,224x = 35,022,128,164
5. Step 5: Solve for x
   x = 35,022,128,164/120,224
6. Step 6: Final answer
   x = 291,307.29