Finding the Third Proportional to 152,575 and 334,215

Step by Step Solution

1. Step 1: Write the proportion equation
   152,575 : 334,215 = 334,215 : x
2. Step 2: Convert to fraction form
   152,575/334,215 = 334,215/x
3. Step 3: Cross multiply
   152,575x = 334,215 × 334,215
4. Step 4: Simplify right side
   152,575x = 111,699,666,225
5. Step 5: Solve for x
   x = 111,699,666,225/152,575
6. Step 6: Final answer
   x = 732,096.78