Finding the Third Proportional to 121,945.50 and 293,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,945.50 : 293,773.50 = 293,773.50 : x
2. Step 2: Convert to fraction form
   121,945.50/293,773.50 = 293,773.50/x
3. Step 3: Cross multiply
   121,945.50x = 293,773.50 × 293,773.50
4. Step 4: Simplify right side
   121,945.50x = 86,302,869,302.25
5. Step 5: Solve for x
   x = 86,302,869,302.25/121,945.50
6. Step 6: Final answer
   x = 707,716.72