Finding the Third Proportional to 71,547 and 113,271

Step by Step Solution

1. Step 1: Write the proportion equation
   71,547 : 113,271 = 113,271 : x
2. Step 2: Convert to fraction form
   71,547/113,271 = 113,271/x
3. Step 3: Cross multiply
   71,547x = 113,271 × 113,271
4. Step 4: Simplify right side
   71,547x = 12,830,319,441
5. Step 5: Solve for x
   x = 12,830,319,441/71,547
6. Step 6: Final answer
   x = 179,327.15