Finding the Third Proportional to 152,321 and 212,944

Step by Step Solution

1. Step 1: Write the proportion equation
   152,321 : 212,944 = 212,944 : x
2. Step 2: Convert to fraction form
   152,321/212,944 = 212,944/x
3. Step 3: Cross multiply
   152,321x = 212,944 × 212,944
4. Step 4: Simplify right side
   152,321x = 45,345,147,136
5. Step 5: Solve for x
   x = 45,345,147,136/152,321
6. Step 6: Final answer
   x = 297,694.65