Finding the Third Proportional to 152,496 and 334,914.75

Step by Step Solution

1. Step 1: Write the proportion equation
   152,496 : 334,914.75 = 334,914.75 : x
2. Step 2: Convert to fraction form
   152,496/334,914.75 = 334,914.75/x
3. Step 3: Cross multiply
   152,496x = 334,914.75 × 334,914.75
4. Step 4: Simplify right side
   152,496x = 112,167,889,767.56
5. Step 5: Solve for x
   x = 112,167,889,767.56/152,496
6. Step 6: Final answer
   x = 735,546.44