Finding the Third Proportional to 380,686.50 and 535,614

Step by Step Solution

1. Step 1: Write the proportion equation
   380,686.50 : 535,614 = 535,614 : x
2. Step 2: Convert to fraction form
   380,686.50/535,614 = 535,614/x
3. Step 3: Cross multiply
   380,686.50x = 535,614 × 535,614
4. Step 4: Simplify right side
   380,686.50x = 286,882,356,996
5. Step 5: Solve for x
   x = 286,882,356,996/380,686.50
6. Step 6: Final answer
   x = 753,592.15