Finding the Third Proportional to 84,876 and 186,700.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,876 : 186,700.50 = 186,700.50 : x
2. Step 2: Convert to fraction form
   84,876/186,700.50 = 186,700.50/x
3. Step 3: Cross multiply
   84,876x = 186,700.50 × 186,700.50
4. Step 4: Simplify right side
   84,876x = 34,857,076,700.25
5. Step 5: Solve for x
   x = 34,857,076,700.25/84,876
6. Step 6: Final answer
   x = 410,682.37