Finding the Third Proportional to 375,501 and 581,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,501 : 581,077.50 = 581,077.50 : x
2. Step 2: Convert to fraction form
   375,501/581,077.50 = 581,077.50/x
3. Step 3: Cross multiply
   375,501x = 581,077.50 × 581,077.50
4. Step 4: Simplify right side
   375,501x = 337,651,061,006.25
5. Step 5: Solve for x
   x = 337,651,061,006.25/375,501
6. Step 6: Final answer
   x = 899,201.50