Finding the Third Proportional to 152,046 and 323,780

Step by Step Solution

1. Step 1: Write the proportion equation
   152,046 : 323,780 = 323,780 : x
2. Step 2: Convert to fraction form
   152,046/323,780 = 323,780/x
3. Step 3: Cross multiply
   152,046x = 323,780 × 323,780
4. Step 4: Simplify right side
   152,046x = 104,833,488,400
5. Step 5: Solve for x
   x = 104,833,488,400/152,046
6. Step 6: Final answer
   x = 689,485.34