Finding the Third Proportional to 261,306 and 390,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,306 : 390,946.50 = 390,946.50 : x
2. Step 2: Convert to fraction form
   261,306/390,946.50 = 390,946.50/x
3. Step 3: Cross multiply
   261,306x = 390,946.50 × 390,946.50
4. Step 4: Simplify right side
   261,306x = 152,839,165,862.25
5. Step 5: Solve for x
   x = 152,839,165,862.25/261,306
6. Step 6: Final answer
   x = 584,904.92