Finding the Third Proportional to 86,688 and 186,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,688 : 186,307.50 = 186,307.50 : x
2. Step 2: Convert to fraction form
   86,688/186,307.50 = 186,307.50/x
3. Step 3: Cross multiply
   86,688x = 186,307.50 × 186,307.50
4. Step 4: Simplify right side
   86,688x = 34,710,484,556.25
5. Step 5: Solve for x
   x = 34,710,484,556.25/86,688
6. Step 6: Final answer
   x = 400,407.03