Finding the Third Proportional to 342,922.50 and 509,415

Step by Step Solution

1. Step 1: Write the proportion equation
   342,922.50 : 509,415 = 509,415 : x
2. Step 2: Convert to fraction form
   342,922.50/509,415 = 509,415/x
3. Step 3: Cross multiply
   342,922.50x = 509,415 × 509,415
4. Step 4: Simplify right side
   342,922.50x = 259,503,642,225
5. Step 5: Solve for x
   x = 259,503,642,225/342,922.50
6. Step 6: Final answer
   x = 756,741.37