Finding the Third Proportional to 73,857 and 152,069

Step by Step Solution

1. Step 1: Write the proportion equation
   73,857 : 152,069 = 152,069 : x
2. Step 2: Convert to fraction form
   73,857/152,069 = 152,069/x
3. Step 3: Cross multiply
   73,857x = 152,069 × 152,069
4. Step 4: Simplify right side
   73,857x = 23,124,980,761
5. Step 5: Solve for x
   x = 23,124,980,761/73,857
6. Step 6: Final answer
   x = 313,104.79