Finding the Third Proportional to 100,705 and 221,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,705 : 221,656.50 = 221,656.50 : x
2. Step 2: Convert to fraction form
   100,705/221,656.50 = 221,656.50/x
3. Step 3: Cross multiply
   100,705x = 221,656.50 × 221,656.50
4. Step 4: Simplify right side
   100,705x = 49,131,603,992.25
5. Step 5: Solve for x
   x = 49,131,603,992.25/100,705
6. Step 6: Final answer
   x = 487,876.51