Finding the Third Proportional to 118,429.50 and 182,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,429.50 : 182,037.50 = 182,037.50 : x
2. Step 2: Convert to fraction form
   118,429.50/182,037.50 = 182,037.50/x
3. Step 3: Cross multiply
   118,429.50x = 182,037.50 × 182,037.50
4. Step 4: Simplify right side
   118,429.50x = 33,137,651,406.25
5. Step 5: Solve for x
   x = 33,137,651,406.25/118,429.50
6. Step 6: Final answer
   x = 279,809.10