Finding the Third Proportional to 73,865 and 152,085

Step by Step Solution

1. Step 1: Write the proportion equation
   73,865 : 152,085 = 152,085 : x
2. Step 2: Convert to fraction form
   73,865/152,085 = 152,085/x
3. Step 3: Cross multiply
   73,865x = 152,085 × 152,085
4. Step 4: Simplify right side
   73,865x = 23,129,847,225
5. Step 5: Solve for x
   x = 23,129,847,225/73,865
6. Step 6: Final answer
   x = 313,136.77