Finding the Third Proportional to 83,593 and 189,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,593 : 189,002.50 = 189,002.50 : x
2. Step 2: Convert to fraction form
   83,593/189,002.50 = 189,002.50/x
3. Step 3: Cross multiply
   83,593x = 189,002.50 × 189,002.50
4. Step 4: Simplify right side
   83,593x = 35,721,945,006.25
5. Step 5: Solve for x
   x = 35,721,945,006.25/83,593
6. Step 6: Final answer
   x = 427,331.77