Finding the Third Proportional to 123,417 and 291,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,417 : 291,046.50 = 291,046.50 : x
2. Step 2: Convert to fraction form
   123,417/291,046.50 = 291,046.50/x
3. Step 3: Cross multiply
   123,417x = 291,046.50 × 291,046.50
4. Step 4: Simplify right side
   123,417x = 84,708,065,162.25
5. Step 5: Solve for x
   x = 84,708,065,162.25/123,417
6. Step 6: Final answer
   x = 686,356.54