Finding the Third Proportional to 46,974 and 102,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,974 : 102,997.50 = 102,997.50 : x
2. Step 2: Convert to fraction form
   46,974/102,997.50 = 102,997.50/x
3. Step 3: Cross multiply
   46,974x = 102,997.50 × 102,997.50
4. Step 4: Simplify right side
   46,974x = 10,608,485,006.25
5. Step 5: Solve for x
   x = 10,608,485,006.25/46,974
6. Step 6: Final answer
   x = 225,837.38