Finding the Third Proportional to 83,875.50 and 182,514

Step by Step Solution

1. Step 1: Write the proportion equation
   83,875.50 : 182,514 = 182,514 : x
2. Step 2: Convert to fraction form
   83,875.50/182,514 = 182,514/x
3. Step 3: Cross multiply
   83,875.50x = 182,514 × 182,514
4. Step 4: Simplify right side
   83,875.50x = 33,311,360,196
5. Step 5: Solve for x
   x = 33,311,360,196/83,875.50
6. Step 6: Final answer
   x = 397,152.45