Finding the Third Proportional to 152,296 and 334,964

Step by Step Solution

1. Step 1: Write the proportion equation
   152,296 : 334,964 = 334,964 : x
2. Step 2: Convert to fraction form
   152,296/334,964 = 334,964/x
3. Step 3: Cross multiply
   152,296x = 334,964 × 334,964
4. Step 4: Simplify right side
   152,296x = 112,200,881,296
5. Step 5: Solve for x
   x = 112,200,881,296/152,296
6. Step 6: Final answer
   x = 736,729.01