Finding the Third Proportional to 84,864 and 186,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,864 : 186,670.50 = 186,670.50 : x
2. Step 2: Convert to fraction form
   84,864/186,670.50 = 186,670.50/x
3. Step 3: Cross multiply
   84,864x = 186,670.50 × 186,670.50
4. Step 4: Simplify right side
   84,864x = 34,845,875,570.25
5. Step 5: Solve for x
   x = 34,845,875,570.25/84,864
6. Step 6: Final answer
   x = 410,608.45