Finding the Third Proportional to 101,116 and 220,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,116 : 220,166.50 = 220,166.50 : x
2. Step 2: Convert to fraction form
   101,116/220,166.50 = 220,166.50/x
3. Step 3: Cross multiply
   101,116x = 220,166.50 × 220,166.50
4. Step 4: Simplify right side
   101,116x = 48,473,287,722.25
5. Step 5: Solve for x
   x = 48,473,287,722.25/101,116
6. Step 6: Final answer
   x = 479,382.96