Finding the Third Proportional to 85,906 and 177,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,906 : 177,704.50 = 177,704.50 : x
2. Step 2: Convert to fraction form
   85,906/177,704.50 = 177,704.50/x
3. Step 3: Cross multiply
   85,906x = 177,704.50 × 177,704.50
4. Step 4: Simplify right side
   85,906x = 31,578,889,320.25
5. Step 5: Solve for x
   x = 31,578,889,320.25/85,906
6. Step 6: Final answer
   x = 367,598.18