Finding the Third Proportional to 71,085 and 152,011

Step by Step Solution

1. Step 1: Write the proportion equation
   71,085 : 152,011 = 152,011 : x
2. Step 2: Convert to fraction form
   71,085/152,011 = 152,011/x
3. Step 3: Cross multiply
   71,085x = 152,011 × 152,011
4. Step 4: Simplify right side
   71,085x = 23,107,344,121
5. Step 5: Solve for x
   x = 23,107,344,121/71,085
6. Step 6: Final answer
   x = 325,066.39