Finding the Third Proportional to 213,076 and 467,624

Step by Step Solution

1. Step 1: Write the proportion equation
   213,076 : 467,624 = 467,624 : x
2. Step 2: Convert to fraction form
   213,076/467,624 = 467,624/x
3. Step 3: Cross multiply
   213,076x = 467,624 × 467,624
4. Step 4: Simplify right side
   213,076x = 218,672,205,376
5. Step 5: Solve for x
   x = 218,672,205,376/213,076
6. Step 6: Final answer
   x = 1,026,263.89