Finding the Third Proportional to 135,978 and 291,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,978 : 291,640.50 = 291,640.50 : x
2. Step 2: Convert to fraction form
   135,978/291,640.50 = 291,640.50/x
3. Step 3: Cross multiply
   135,978x = 291,640.50 × 291,640.50
4. Step 4: Simplify right side
   135,978x = 85,054,181,240.25
5. Step 5: Solve for x
   x = 85,054,181,240.25/135,978
6. Step 6: Final answer
   x = 625,499.58