Finding the Third Proportional to 103,970 and 218,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,970 : 218,804.50 = 218,804.50 : x
2. Step 2: Convert to fraction form
   103,970/218,804.50 = 218,804.50/x
3. Step 3: Cross multiply
   103,970x = 218,804.50 × 218,804.50
4. Step 4: Simplify right side
   103,970x = 47,875,409,220.25
5. Step 5: Solve for x
   x = 47,875,409,220.25/103,970
6. Step 6: Final answer
   x = 460,473.30