Finding the Third Proportional to 121,033 and 186,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,033 : 186,653.50 = 186,653.50 : x
2. Step 2: Convert to fraction form
   121,033/186,653.50 = 186,653.50/x
3. Step 3: Cross multiply
   121,033x = 186,653.50 × 186,653.50
4. Step 4: Simplify right side
   121,033x = 34,839,529,062.25
5. Step 5: Solve for x
   x = 34,839,529,062.25/121,033
6. Step 6: Final answer
   x = 287,851.49