Finding the Third Proportional to 100,973 and 218,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,973 : 218,662.50 = 218,662.50 : x
2. Step 2: Convert to fraction form
   100,973/218,662.50 = 218,662.50/x
3. Step 3: Cross multiply
   100,973x = 218,662.50 × 218,662.50
4. Step 4: Simplify right side
   100,973x = 47,813,288,906.25
5. Step 5: Solve for x
   x = 47,813,288,906.25/100,973
6. Step 6: Final answer
   x = 473,525.49