Finding the Third Proportional to 71,184 and 151,152

Step by Step Solution

1. Step 1: Write the proportion equation
   71,184 : 151,152 = 151,152 : x
2. Step 2: Convert to fraction form
   71,184/151,152 = 151,152/x
3. Step 3: Cross multiply
   71,184x = 151,152 × 151,152
4. Step 4: Simplify right side
   71,184x = 22,846,927,104
5. Step 5: Solve for x
   x = 22,846,927,104/71,184
6. Step 6: Final answer
   x = 320,955.93