Finding the Third Proportional to 121,365 and 193,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,365 : 193,900.50 = 193,900.50 : x
2. Step 2: Convert to fraction form
   121,365/193,900.50 = 193,900.50/x
3. Step 3: Cross multiply
   121,365x = 193,900.50 × 193,900.50
4. Step 4: Simplify right side
   121,365x = 37,597,403,900.25
5. Step 5: Solve for x
   x = 37,597,403,900.25/121,365
6. Step 6: Final answer
   x = 309,787.86