Finding the Third Proportional to 152,384 and 334,297

Step by Step Solution

1. Step 1: Write the proportion equation
   152,384 : 334,297 = 334,297 : x
2. Step 2: Convert to fraction form
   152,384/334,297 = 334,297/x
3. Step 3: Cross multiply
   152,384x = 334,297 × 334,297
4. Step 4: Simplify right side
   152,384x = 111,754,484,209
5. Step 5: Solve for x
   x = 111,754,484,209/152,384
6. Step 6: Final answer
   x = 733,374.14