Finding the Third Proportional to 152,972.25 and 326,964

Step by Step Solution

1. Step 1: Write the proportion equation
   152,972.25 : 326,964 = 326,964 : x
2. Step 2: Convert to fraction form
   152,972.25/326,964 = 326,964/x
3. Step 3: Cross multiply
   152,972.25x = 326,964 × 326,964
4. Step 4: Simplify right side
   152,972.25x = 106,905,457,296
5. Step 5: Solve for x
   x = 106,905,457,296/152,972.25
6. Step 6: Final answer
   x = 698,855.23