Finding the Third Proportional to 150,984 and 334,152

Step by Step Solution

1. Step 1: Write the proportion equation
   150,984 : 334,152 = 334,152 : x
2. Step 2: Convert to fraction form
   150,984/334,152 = 334,152/x
3. Step 3: Cross multiply
   150,984x = 334,152 × 334,152
4. Step 4: Simplify right side
   150,984x = 111,657,559,104
5. Step 5: Solve for x
   x = 111,657,559,104/150,984
6. Step 6: Final answer
   x = 739,532.39