Finding the Third Proportional to 309,712 and 468,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,712 : 468,853.50 = 468,853.50 : x
2. Step 2: Convert to fraction form
   309,712/468,853.50 = 468,853.50/x
3. Step 3: Cross multiply
   309,712x = 468,853.50 × 468,853.50
4. Step 4: Simplify right side
   309,712x = 219,823,604,462.25
5. Step 5: Solve for x
   x = 219,823,604,462.25/309,712
6. Step 6: Final answer
   x = 709,767.80