Finding the Third Proportional to 183,723 and 260,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,723 : 260,041.50 = 260,041.50 : x
2. Step 2: Convert to fraction form
   183,723/260,041.50 = 260,041.50/x
3. Step 3: Cross multiply
   183,723x = 260,041.50 × 260,041.50
4. Step 4: Simplify right side
   183,723x = 67,621,581,722.25
5. Step 5: Solve for x
   x = 67,621,581,722.25/183,723
6. Step 6: Final answer
   x = 368,062.69