Finding the Third Proportional to 85,442 and 186,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,442 : 186,967.50 = 186,967.50 : x
2. Step 2: Convert to fraction form
   85,442/186,967.50 = 186,967.50/x
3. Step 3: Cross multiply
   85,442x = 186,967.50 × 186,967.50
4. Step 4: Simplify right side
   85,442x = 34,956,846,056.25
5. Step 5: Solve for x
   x = 34,956,846,056.25/85,442
6. Step 6: Final answer
   x = 409,129.54