Finding the Third Proportional to 101,730 and 152,019

Step by Step Solution

1. Step 1: Write the proportion equation
   101,730 : 152,019 = 152,019 : x
2. Step 2: Convert to fraction form
   101,730/152,019 = 152,019/x
3. Step 3: Cross multiply
   101,730x = 152,019 × 152,019
4. Step 4: Simplify right side
   101,730x = 23,109,776,361
5. Step 5: Solve for x
   x = 23,109,776,361/101,730
6. Step 6: Final answer
   x = 227,167.76