Finding the Third Proportional to 118,566 and 180,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,566 : 180,859.50 = 180,859.50 : x
2. Step 2: Convert to fraction form
   118,566/180,859.50 = 180,859.50/x
3. Step 3: Cross multiply
   118,566x = 180,859.50 × 180,859.50
4. Step 4: Simplify right side
   118,566x = 32,710,158,740.25
5. Step 5: Solve for x
   x = 32,710,158,740.25/118,566
6. Step 6: Final answer
   x = 275,881.44