Finding the Third Proportional to 121,884 and 194,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,884 : 194,632.50 = 194,632.50 : x
2. Step 2: Convert to fraction form
   121,884/194,632.50 = 194,632.50/x
3. Step 3: Cross multiply
   121,884x = 194,632.50 × 194,632.50
4. Step 4: Simplify right side
   121,884x = 37,881,810,056.25
5. Step 5: Solve for x
   x = 37,881,810,056.25/121,884
6. Step 6: Final answer
   x = 310,802.16