Finding the Third Proportional to 92,412 and 188,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,412 : 188,173.50 = 188,173.50 : x
2. Step 2: Convert to fraction form
   92,412/188,173.50 = 188,173.50/x
3. Step 3: Cross multiply
   92,412x = 188,173.50 × 188,173.50
4. Step 4: Simplify right side
   92,412x = 35,409,266,102.25
5. Step 5: Solve for x
   x = 35,409,266,102.25/92,412
6. Step 6: Final answer
   x = 383,167.40