Finding the Third Proportional to 209,343 and 493,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,343 : 493,693.50 = 493,693.50 : x
2. Step 2: Convert to fraction form
   209,343/493,693.50 = 493,693.50/x
3. Step 3: Cross multiply
   209,343x = 493,693.50 × 493,693.50
4. Step 4: Simplify right side
   209,343x = 243,733,271,942.25
5. Step 5: Solve for x
   x = 243,733,271,942.25/209,343
6. Step 6: Final answer
   x = 1,164,277.15