Finding the Third Proportional to 456,196 and 715,624

Step by Step Solution

1. Step 1: Write the proportion equation
   456,196 : 715,624 = 715,624 : x
2. Step 2: Convert to fraction form
   456,196/715,624 = 715,624/x
3. Step 3: Cross multiply
   456,196x = 715,624 × 715,624
4. Step 4: Simplify right side
   456,196x = 512,117,709,376
5. Step 5: Solve for x
   x = 512,117,709,376/456,196
6. Step 6: Final answer
   x = 1,122,582.64