Finding the Third Proportional to 257,534.50 and 378,594

Step by Step Solution

1. Step 1: Write the proportion equation
   257,534.50 : 378,594 = 378,594 : x
2. Step 2: Convert to fraction form
   257,534.50/378,594 = 378,594/x
3. Step 3: Cross multiply
   257,534.50x = 378,594 × 378,594
4. Step 4: Simplify right side
   257,534.50x = 143,333,416,836
5. Step 5: Solve for x
   x = 143,333,416,836/257,534.50
6. Step 6: Final answer
   x = 556,560.06