Finding the Third Proportional to 103,967 and 218,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,967 : 218,798.50 = 218,798.50 : x
2. Step 2: Convert to fraction form
   103,967/218,798.50 = 218,798.50/x
3. Step 3: Cross multiply
   103,967x = 218,798.50 × 218,798.50
4. Step 4: Simplify right side
   103,967x = 47,872,783,602.25
5. Step 5: Solve for x
   x = 47,872,783,602.25/103,967
6. Step 6: Final answer
   x = 460,461.33