Finding the Third Proportional to 148,770 and 323,784

Step by Step Solution

1. Step 1: Write the proportion equation
   148,770 : 323,784 = 323,784 : x
2. Step 2: Convert to fraction form
   148,770/323,784 = 323,784/x
3. Step 3: Cross multiply
   148,770x = 323,784 × 323,784
4. Step 4: Simplify right side
   148,770x = 104,836,078,656
5. Step 5: Solve for x
   x = 104,836,078,656/148,770
6. Step 6: Final answer
   x = 704,685.61