Finding the Third Proportional to 152,770 and 334,458

Step by Step Solution

1. Step 1: Write the proportion equation
   152,770 : 334,458 = 334,458 : x
2. Step 2: Convert to fraction form
   152,770/334,458 = 334,458/x
3. Step 3: Cross multiply
   152,770x = 334,458 × 334,458
4. Step 4: Simplify right side
   152,770x = 111,862,153,764
5. Step 5: Solve for x
   x = 111,862,153,764/152,770
6. Step 6: Final answer
   x = 732,225.92