Finding the Third Proportional to 121,875 and 194,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,875 : 194,617.50 = 194,617.50 : x
2. Step 2: Convert to fraction form
   121,875/194,617.50 = 194,617.50/x
3. Step 3: Cross multiply
   121,875x = 194,617.50 × 194,617.50
4. Step 4: Simplify right side
   121,875x = 37,875,971,306.25
5. Step 5: Solve for x
   x = 37,875,971,306.25/121,875
6. Step 6: Final answer
   x = 310,777.20