Finding the Third Proportional to 152,968 and 334,160

Step by Step Solution

1. Step 1: Write the proportion equation
   152,968 : 334,160 = 334,160 : x
2. Step 2: Convert to fraction form
   152,968/334,160 = 334,160/x
3. Step 3: Cross multiply
   152,968x = 334,160 × 334,160
4. Step 4: Simplify right side
   152,968x = 111,662,905,600
5. Step 5: Solve for x
   x = 111,662,905,600/152,968
6. Step 6: Final answer
   x = 729,975.59