Finding the Third Proportional to 102,407 and 222,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,407 : 222,788.50 = 222,788.50 : x
2. Step 2: Convert to fraction form
   102,407/222,788.50 = 222,788.50/x
3. Step 3: Cross multiply
   102,407x = 222,788.50 × 222,788.50
4. Step 4: Simplify right side
   102,407x = 49,634,715,732.25
5. Step 5: Solve for x
   x = 49,634,715,732.25/102,407
6. Step 6: Final answer
   x = 484,680.89