Finding the Third Proportional to 114,282 and 177,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,282 : 177,646.50 = 177,646.50 : x
2. Step 2: Convert to fraction form
   114,282/177,646.50 = 177,646.50/x
3. Step 3: Cross multiply
   114,282x = 177,646.50 × 177,646.50
4. Step 4: Simplify right side
   114,282x = 31,558,278,962.25
5. Step 5: Solve for x
   x = 31,558,278,962.25/114,282
6. Step 6: Final answer
   x = 276,143.92