Finding the Third Proportional to 215,506 and 470,172

Step by Step Solution

1. Step 1: Write the proportion equation
   215,506 : 470,172 = 470,172 : x
2. Step 2: Convert to fraction form
   215,506/470,172 = 470,172/x
3. Step 3: Cross multiply
   215,506x = 470,172 × 470,172
4. Step 4: Simplify right side
   215,506x = 221,061,709,584
5. Step 5: Solve for x
   x = 221,061,709,584/215,506
6. Step 6: Final answer
   x = 1,025,779.84