Finding the Third Proportional to 350,643 and 496,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   350,643 : 496,156.50 = 496,156.50 : x
2. Step 2: Convert to fraction form
   350,643/496,156.50 = 496,156.50/x
3. Step 3: Cross multiply
   350,643x = 496,156.50 × 496,156.50
4. Step 4: Simplify right side
   350,643x = 246,171,272,492.25
5. Step 5: Solve for x
   x = 246,171,272,492.25/350,643
6. Step 6: Final answer
   x = 702,056.71