Finding the Third Proportional to 102,980 and 223,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,980 : 223,086.50 = 223,086.50 : x
2. Step 2: Convert to fraction form
   102,980/223,086.50 = 223,086.50/x
3. Step 3: Cross multiply
   102,980x = 223,086.50 × 223,086.50
4. Step 4: Simplify right side
   102,980x = 49,767,586,482.25
5. Step 5: Solve for x
   x = 49,767,586,482.25/102,980
6. Step 6: Final answer
   x = 483,274.29