Finding the Third Proportional to 384,538.50 and 596,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,538.50 : 596,956.50 = 596,956.50 : x
2. Step 2: Convert to fraction form
   384,538.50/596,956.50 = 596,956.50/x
3. Step 3: Cross multiply
   384,538.50x = 596,956.50 × 596,956.50
4. Step 4: Simplify right side
   384,538.50x = 356,357,062,892.25
5. Step 5: Solve for x
   x = 356,357,062,892.25/384,538.50
6. Step 6: Final answer
   x = 926,713.61