Finding the Third Proportional to 212,376 and 464,136

Step by Step Solution

1. Step 1: Write the proportion equation
   212,376 : 464,136 = 464,136 : x
2. Step 2: Convert to fraction form
   212,376/464,136 = 464,136/x
3. Step 3: Cross multiply
   212,376x = 464,136 × 464,136
4. Step 4: Simplify right side
   212,376x = 215,422,226,496
5. Step 5: Solve for x
   x = 215,422,226,496/212,376
6. Step 6: Final answer
   x = 1,014,343.55