Finding the Third Proportional to 348,768 and 493,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   348,768 : 493,642.50 = 493,642.50 : x
2. Step 2: Convert to fraction form
   348,768/493,642.50 = 493,642.50/x
3. Step 3: Cross multiply
   348,768x = 493,642.50 × 493,642.50
4. Step 4: Simplify right side
   348,768x = 243,682,917,806.25
5. Step 5: Solve for x
   x = 243,682,917,806.25/348,768
6. Step 6: Final answer
   x = 698,696.32