Finding the Third Proportional to 85,033 and 185,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,033 : 185,375.50 = 185,375.50 : x
2. Step 2: Convert to fraction form
   85,033/185,375.50 = 185,375.50/x
3. Step 3: Cross multiply
   85,033x = 185,375.50 × 185,375.50
4. Step 4: Simplify right side
   85,033x = 34,364,076,000.25
5. Step 5: Solve for x
   x = 34,364,076,000.25/85,033
6. Step 6: Final answer
   x = 404,126.35