Finding the Third Proportional to 85,912 and 131,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,912 : 131,419.50 = 131,419.50 : x
2. Step 2: Convert to fraction form
   85,912/131,419.50 = 131,419.50/x
3. Step 3: Cross multiply
   85,912x = 131,419.50 × 131,419.50
4. Step 4: Simplify right side
   85,912x = 17,271,084,980.25
5. Step 5: Solve for x
   x = 17,271,084,980.25/85,912
6. Step 6: Final answer
   x = 201,032.28