Finding the Third Proportional to 152,484 and 334,506

Step by Step Solution

1. Step 1: Write the proportion equation
   152,484 : 334,506 = 334,506 : x
2. Step 2: Convert to fraction form
   152,484/334,506 = 334,506/x
3. Step 3: Cross multiply
   152,484x = 334,506 × 334,506
4. Step 4: Simplify right side
   152,484x = 111,894,264,036
5. Step 5: Solve for x
   x = 111,894,264,036/152,484
6. Step 6: Final answer
   x = 733,809.87