Finding the Third Proportional to 318,915 and 493,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   318,915 : 493,492.50 = 493,492.50 : x
2. Step 2: Convert to fraction form
   318,915/493,492.50 = 493,492.50/x
3. Step 3: Cross multiply
   318,915x = 493,492.50 × 493,492.50
4. Step 4: Simplify right side
   318,915x = 243,534,847,556.25
5. Step 5: Solve for x
   x = 243,534,847,556.25/318,915
6. Step 6: Final answer
   x = 763,635.60