Finding the Third Proportional to 84,456 and 183,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,456 : 183,514.50 = 183,514.50 : x
2. Step 2: Convert to fraction form
   84,456/183,514.50 = 183,514.50/x
3. Step 3: Cross multiply
   84,456x = 183,514.50 × 183,514.50
4. Step 4: Simplify right side
   84,456x = 33,677,571,710.25
5. Step 5: Solve for x
   x = 33,677,571,710.25/84,456
6. Step 6: Final answer
   x = 398,758.78