Finding the Third Proportional to 85,780.50 and 188,178

Step by Step Solution

1. Step 1: Write the proportion equation
   85,780.50 : 188,178 = 188,178 : x
2. Step 2: Convert to fraction form
   85,780.50/188,178 = 188,178/x
3. Step 3: Cross multiply
   85,780.50x = 188,178 × 188,178
4. Step 4: Simplify right side
   85,780.50x = 35,410,959,684
5. Step 5: Solve for x
   x = 35,410,959,684/85,780.50
6. Step 6: Final answer
   x = 412,808.97