Finding the Third Proportional to 61,974 and 135,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,974 : 135,499.50 = 135,499.50 : x
2. Step 2: Convert to fraction form
   61,974/135,499.50 = 135,499.50/x
3. Step 3: Cross multiply
   61,974x = 135,499.50 × 135,499.50
4. Step 4: Simplify right side
   61,974x = 18,360,114,500.25
5. Step 5: Solve for x
   x = 18,360,114,500.25/61,974
6. Step 6: Final answer
   x = 296,255.12