Finding the Third Proportional to 73,184 and 152,109

Step by Step Solution

1. Step 1: Write the proportion equation
   73,184 : 152,109 = 152,109 : x
2. Step 2: Convert to fraction form
   73,184/152,109 = 152,109/x
3. Step 3: Cross multiply
   73,184x = 152,109 × 152,109
4. Step 4: Simplify right side
   73,184x = 23,137,147,881
5. Step 5: Solve for x
   x = 23,137,147,881/73,184
6. Step 6: Final answer
   x = 316,150.36