Finding the Third Proportional to 71,301 and 151,778

Step by Step Solution

1. Step 1: Write the proportion equation
   71,301 : 151,778 = 151,778 : x
2. Step 2: Convert to fraction form
   71,301/151,778 = 151,778/x
3. Step 3: Cross multiply
   71,301x = 151,778 × 151,778
4. Step 4: Simplify right side
   71,301x = 23,036,561,284
5. Step 5: Solve for x
   x = 23,036,561,284/71,301
6. Step 6: Final answer
   x = 323,088.89