Finding the Third Proportional to 61,978.50 and 135,830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   61,978.50 : 135,830.25 = 135,830.25 : x
2. Step 2: Convert to fraction form
   61,978.50/135,830.25 = 135,830.25/x
3. Step 3: Cross multiply
   61,978.50x = 135,830.25 × 135,830.25
4. Step 4: Simplify right side
   61,978.50x = 18,449,856,815.06
5. Step 5: Solve for x
   x = 18,449,856,815.06/61,978.50
6. Step 6: Final answer
   x = 297,681.56