Finding the Third Proportional to 72,699 and 148,071

Step by Step Solution

1. Step 1: Write the proportion equation
   72,699 : 148,071 = 148,071 : x
2. Step 2: Convert to fraction form
   72,699/148,071 = 148,071/x
3. Step 3: Cross multiply
   72,699x = 148,071 × 148,071
4. Step 4: Simplify right side
   72,699x = 21,925,021,041
5. Step 5: Solve for x
   x = 21,925,021,041/72,699
6. Step 6: Final answer
   x = 301,586.28