Finding the Third Proportional to 101,127 and 218,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,127 : 218,022.50 = 218,022.50 : x
2. Step 2: Convert to fraction form
   101,127/218,022.50 = 218,022.50/x
3. Step 3: Cross multiply
   101,127x = 218,022.50 × 218,022.50
4. Step 4: Simplify right side
   101,127x = 47,533,810,506.25
5. Step 5: Solve for x
   x = 47,533,810,506.25/101,127
6. Step 6: Final answer
   x = 470,040.75