Finding the Third Proportional to 214,632 and 466,172

Step by Step Solution

1. Step 1: Write the proportion equation
   214,632 : 466,172 = 466,172 : x
2. Step 2: Convert to fraction form
   214,632/466,172 = 466,172/x
3. Step 3: Cross multiply
   214,632x = 466,172 × 466,172
4. Step 4: Simplify right side
   214,632x = 217,316,333,584
5. Step 5: Solve for x
   x = 217,316,333,584/214,632
6. Step 6: Final answer
   x = 1,012,506.68