Finding the Third Proportional to 121,414 and 183,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,414 : 183,815.50 = 183,815.50 : x
2. Step 2: Convert to fraction form
   121,414/183,815.50 = 183,815.50/x
3. Step 3: Cross multiply
   121,414x = 183,815.50 × 183,815.50
4. Step 4: Simplify right side
   121,414x = 33,788,138,040.25
5. Step 5: Solve for x
   x = 33,788,138,040.25/121,414
6. Step 6: Final answer
   x = 278,288.65