Finding the Third Proportional to 187,680 and 390,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,680 : 390,892.50 = 390,892.50 : x
2. Step 2: Convert to fraction form
   187,680/390,892.50 = 390,892.50/x
3. Step 3: Cross multiply
   187,680x = 390,892.50 × 390,892.50
4. Step 4: Simplify right side
   187,680x = 152,796,946,556.25
5. Step 5: Solve for x
   x = 152,796,946,556.25/187,680
6. Step 6: Final answer
   x = 814,135.48