Finding the Third Proportional to 152,577 and 334,219

Step by Step Solution

1. Step 1: Write the proportion equation
   152,577 : 334,219 = 334,219 : x
2. Step 2: Convert to fraction form
   152,577/334,219 = 334,219/x
3. Step 3: Cross multiply
   152,577x = 334,219 × 334,219
4. Step 4: Simplify right side
   152,577x = 111,702,339,961
5. Step 5: Solve for x
   x = 111,702,339,961/152,577
6. Step 6: Final answer
   x = 732,104.71