Finding the Third Proportional to 152,466 and 334,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,466 : 334,375.50 = 334,375.50 : x
2. Step 2: Convert to fraction form
   152,466/334,375.50 = 334,375.50/x
3. Step 3: Cross multiply
   152,466x = 334,375.50 × 334,375.50
4. Step 4: Simplify right side
   152,466x = 111,806,975,000.25
5. Step 5: Solve for x
   x = 111,806,975,000.25/152,466
6. Step 6: Final answer
   x = 733,323.99