Finding the Third Proportional to 82,185 and 174,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,185 : 174,961.50 = 174,961.50 : x
2. Step 2: Convert to fraction form
   82,185/174,961.50 = 174,961.50/x
3. Step 3: Cross multiply
   82,185x = 174,961.50 × 174,961.50
4. Step 4: Simplify right side
   82,185x = 30,611,526,482.25
5. Step 5: Solve for x
   x = 30,611,526,482.25/82,185
6. Step 6: Final answer
   x = 372,470.97