Finding the Third Proportional to 183,697.50 and 260,003.25

Step by Step Solution

1. Step 1: Write the proportion equation
   183,697.50 : 260,003.25 = 260,003.25 : x
2. Step 2: Convert to fraction form
   183,697.50/260,003.25 = 260,003.25/x
3. Step 3: Cross multiply
   183,697.50x = 260,003.25 × 260,003.25
4. Step 4: Simplify right side
   183,697.50x = 67,601,690,010.56
5. Step 5: Solve for x
   x = 67,601,690,010.56/183,697.50
6. Step 6: Final answer
   x = 368,005.50