Finding the Third Proportional to 82,066 and 176,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,066 : 176,686.50 = 176,686.50 : x
2. Step 2: Convert to fraction form
   82,066/176,686.50 = 176,686.50/x
3. Step 3: Cross multiply
   82,066x = 176,686.50 × 176,686.50
4. Step 4: Simplify right side
   82,066x = 31,218,119,282.25
5. Step 5: Solve for x
   x = 31,218,119,282.25/82,066
6. Step 6: Final answer
   x = 380,402.59