Finding the Third Proportional to 71,730 and 146,627

Step by Step Solution

1. Step 1: Write the proportion equation
   71,730 : 146,627 = 146,627 : x
2. Step 2: Convert to fraction form
   71,730/146,627 = 146,627/x
3. Step 3: Cross multiply
   71,730x = 146,627 × 146,627
4. Step 4: Simplify right side
   71,730x = 21,499,477,129
5. Step 5: Solve for x
   x = 21,499,477,129/71,730
6. Step 6: Final answer
   x = 299,727.83