Finding the Third Proportional to 85,506 and 131,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,506 : 131,620.50 = 131,620.50 : x
2. Step 2: Convert to fraction form
   85,506/131,620.50 = 131,620.50/x
3. Step 3: Cross multiply
   85,506x = 131,620.50 × 131,620.50
4. Step 4: Simplify right side
   85,506x = 17,323,956,020.25
5. Step 5: Solve for x
   x = 17,323,956,020.25/85,506
6. Step 6: Final answer
   x = 202,605.15