Finding the Third Proportional to 84,888 and 186,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,888 : 186,097.50 = 186,097.50 : x
2. Step 2: Convert to fraction form
   84,888/186,097.50 = 186,097.50/x
3. Step 3: Cross multiply
   84,888x = 186,097.50 × 186,097.50
4. Step 4: Simplify right side
   84,888x = 34,632,279,506.25
5. Step 5: Solve for x
   x = 34,632,279,506.25/84,888
6. Step 6: Final answer
   x = 407,976.15