Finding the Third Proportional to 358,384.50 and 769,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   358,384.50 : 769,892.50 = 769,892.50 : x
2. Step 2: Convert to fraction form
   358,384.50/769,892.50 = 769,892.50/x
3. Step 3: Cross multiply
   358,384.50x = 769,892.50 × 769,892.50
4. Step 4: Simplify right side
   358,384.50x = 592,734,461,556.25
5. Step 5: Solve for x
   x = 592,734,461,556.25/358,384.50
6. Step 6: Final answer
   x = 1,653,906.52