Finding the Third Proportional to 319,026 and 493,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,026 : 493,967.50 = 493,967.50 : x
2. Step 2: Convert to fraction form
   319,026/493,967.50 = 493,967.50/x
3. Step 3: Cross multiply
   319,026x = 493,967.50 × 493,967.50
4. Step 4: Simplify right side
   319,026x = 244,003,891,056.25
5. Step 5: Solve for x
   x = 244,003,891,056.25/319,026
6. Step 6: Final answer
   x = 764,840.14