Finding the Third Proportional to 351,625.50 and 525,123

Step by Step Solution

1. Step 1: Write the proportion equation
   351,625.50 : 525,123 = 525,123 : x
2. Step 2: Convert to fraction form
   351,625.50/525,123 = 525,123/x
3. Step 3: Cross multiply
   351,625.50x = 525,123 × 525,123
4. Step 4: Simplify right side
   351,625.50x = 275,754,165,129
5. Step 5: Solve for x
   x = 275,754,165,129/351,625.50
6. Step 6: Final answer
   x = 784,226.87