Finding the Third Proportional to 380,665.50 and 535,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,665.50 : 535,588.50 = 535,588.50 : x
2. Step 2: Convert to fraction form
   380,665.50/535,588.50 = 535,588.50/x
3. Step 3: Cross multiply
   380,665.50x = 535,588.50 × 535,588.50
4. Step 4: Simplify right side
   380,665.50x = 286,855,041,332.25
5. Step 5: Solve for x
   x = 286,855,041,332.25/380,665.50
6. Step 6: Final answer
   x = 753,561.96