Finding the Third Proportional to 67,821 and 147,789

Step by Step Solution

1. Step 1: Write the proportion equation
   67,821 : 147,789 = 147,789 : x
2. Step 2: Convert to fraction form
   67,821/147,789 = 147,789/x
3. Step 3: Cross multiply
   67,821x = 147,789 × 147,789
4. Step 4: Simplify right side
   67,821x = 21,841,588,521
5. Step 5: Solve for x
   x = 21,841,588,521/67,821
6. Step 6: Final answer
   x = 322,047.57