Finding the Third Proportional to 74,814 and 159,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,814 : 159,997.50 = 159,997.50 : x
2. Step 2: Convert to fraction form
   74,814/159,997.50 = 159,997.50/x
3. Step 3: Cross multiply
   74,814x = 159,997.50 × 159,997.50
4. Step 4: Simplify right side
   74,814x = 25,599,200,006.25
5. Step 5: Solve for x
   x = 25,599,200,006.25/74,814
6. Step 6: Final answer
   x = 342,171.25