Finding the Third Proportional to 375,385.50 and 581,742

Step by Step Solution

1. Step 1: Write the proportion equation
   375,385.50 : 581,742 = 581,742 : x
2. Step 2: Convert to fraction form
   375,385.50/581,742 = 581,742/x
3. Step 3: Cross multiply
   375,385.50x = 581,742 × 581,742
4. Step 4: Simplify right side
   375,385.50x = 338,423,754,564
5. Step 5: Solve for x
   x = 338,423,754,564/375,385.50
6. Step 6: Final answer
   x = 901,536.57