Finding the Third Proportional to 101,175 and 221,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,175 : 221,622.50 = 221,622.50 : x
2. Step 2: Convert to fraction form
   101,175/221,622.50 = 221,622.50/x
3. Step 3: Cross multiply
   101,175x = 221,622.50 × 221,622.50
4. Step 4: Simplify right side
   101,175x = 49,116,532,506.25
5. Step 5: Solve for x
   x = 49,116,532,506.25/101,175
6. Step 6: Final answer
   x = 485,461.16