Finding the Third Proportional to 153,414 and 235,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,414 : 235,480.50 = 235,480.50 : x
2. Step 2: Convert to fraction form
   153,414/235,480.50 = 235,480.50/x
3. Step 3: Cross multiply
   153,414x = 235,480.50 × 235,480.50
4. Step 4: Simplify right side
   153,414x = 55,451,065,880.25
5. Step 5: Solve for x
   x = 55,451,065,880.25/153,414
6. Step 6: Final answer
   x = 361,447.23