Finding the Third Proportional to 84,688.50 and 186,654

Step by Step Solution

1. Step 1: Write the proportion equation
   84,688.50 : 186,654 = 186,654 : x
2. Step 2: Convert to fraction form
   84,688.50/186,654 = 186,654/x
3. Step 3: Cross multiply
   84,688.50x = 186,654 × 186,654
4. Step 4: Simplify right side
   84,688.50x = 34,839,715,716
5. Step 5: Solve for x
   x = 34,839,715,716/84,688.50
6. Step 6: Final answer
   x = 411,386.62