Finding the Third Proportional to 73,849 and 152,053

Step by Step Solution

1. Step 1: Write the proportion equation
   73,849 : 152,053 = 152,053 : x
2. Step 2: Convert to fraction form
   73,849/152,053 = 152,053/x
3. Step 3: Cross multiply
   73,849x = 152,053 × 152,053
4. Step 4: Simplify right side
   73,849x = 23,120,114,809
5. Step 5: Solve for x
   x = 23,120,114,809/73,849
6. Step 6: Final answer
   x = 313,072.82