Finding the Third Proportional to 111,294 and 262,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,294 : 262,459.50 = 262,459.50 : x
2. Step 2: Convert to fraction form
   111,294/262,459.50 = 262,459.50/x
3. Step 3: Cross multiply
   111,294x = 262,459.50 × 262,459.50
4. Step 4: Simplify right side
   111,294x = 68,884,989,140.25
5. Step 5: Solve for x
   x = 68,884,989,140.25/111,294
6. Step 6: Final answer
   x = 618,946.12