Finding the Third Proportional to 82,908 and 177,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,908 : 177,646.50 = 177,646.50 : x
2. Step 2: Convert to fraction form
   82,908/177,646.50 = 177,646.50/x
3. Step 3: Cross multiply
   82,908x = 177,646.50 × 177,646.50
4. Step 4: Simplify right side
   82,908x = 31,558,278,962.25
5. Step 5: Solve for x
   x = 31,558,278,962.25/82,908
6. Step 6: Final answer
   x = 380,642.15