Finding the Third Proportional to 85,621.50 and 177,210

Step by Step Solution

1. Step 1: Write the proportion equation
   85,621.50 : 177,210 = 177,210 : x
2. Step 2: Convert to fraction form
   85,621.50/177,210 = 177,210/x
3. Step 3: Cross multiply
   85,621.50x = 177,210 × 177,210
4. Step 4: Simplify right side
   85,621.50x = 31,403,384,100
5. Step 5: Solve for x
   x = 31,403,384,100/85,621.50
6. Step 6: Final answer
   x = 366,769.84