Finding the Third Proportional to 85,671 and 131,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,671 : 131,773.50 = 131,773.50 : x
2. Step 2: Convert to fraction form
   85,671/131,773.50 = 131,773.50/x
3. Step 3: Cross multiply
   85,671x = 131,773.50 × 131,773.50
4. Step 4: Simplify right side
   85,671x = 17,364,255,302.25
5. Step 5: Solve for x
   x = 17,364,255,302.25/85,671
6. Step 6: Final answer
   x = 202,685.33