Finding the Third Proportional to 71,264 and 152,056

Step by Step Solution

1. Step 1: Write the proportion equation
   71,264 : 152,056 = 152,056 : x
2. Step 2: Convert to fraction form
   71,264/152,056 = 152,056/x
3. Step 3: Cross multiply
   71,264x = 152,056 × 152,056
4. Step 4: Simplify right side
   71,264x = 23,121,027,136
5. Step 5: Solve for x
   x = 23,121,027,136/71,264
6. Step 6: Final answer
   x = 324,441.89