Finding the Third Proportional to 152,334 and 334,206

Step by Step Solution

1. Step 1: Write the proportion equation
   152,334 : 334,206 = 334,206 : x
2. Step 2: Convert to fraction form
   152,334/334,206 = 334,206/x
3. Step 3: Cross multiply
   152,334x = 334,206 × 334,206
4. Step 4: Simplify right side
   152,334x = 111,693,650,436
5. Step 5: Solve for x
   x = 111,693,650,436/152,334
6. Step 6: Final answer
   x = 733,215.50