Finding the Third Proportional to 118,614 and 182,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,614 : 182,233.50 = 182,233.50 : x
2. Step 2: Convert to fraction form
   118,614/182,233.50 = 182,233.50/x
3. Step 3: Cross multiply
   118,614x = 182,233.50 × 182,233.50
4. Step 4: Simplify right side
   118,614x = 33,209,048,522.25
5. Step 5: Solve for x
   x = 33,209,048,522.25/118,614
6. Step 6: Final answer
   x = 279,975.79