Finding the Third Proportional to 86,331 and 187,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,331 : 187,066.50 = 187,066.50 : x
2. Step 2: Convert to fraction form
   86,331/187,066.50 = 187,066.50/x
3. Step 3: Cross multiply
   86,331x = 187,066.50 × 187,066.50
4. Step 4: Simplify right side
   86,331x = 34,993,875,422.25
5. Step 5: Solve for x
   x = 34,993,875,422.25/86,331
6. Step 6: Final answer
   x = 405,345.42