Finding the Third Proportional to 152,916 and 335,352

Step by Step Solution

1. Step 1: Write the proportion equation
   152,916 : 335,352 = 335,352 : x
2. Step 2: Convert to fraction form
   152,916/335,352 = 335,352/x
3. Step 3: Cross multiply
   152,916x = 335,352 × 335,352
4. Step 4: Simplify right side
   152,916x = 112,460,963,904
5. Step 5: Solve for x
   x = 112,460,963,904/152,916
6. Step 6: Final answer
   x = 735,442.75