Finding the Third Proportional to 85,575 and 196,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,575 : 196,711.50 = 196,711.50 : x
2. Step 2: Convert to fraction form
   85,575/196,711.50 = 196,711.50/x
3. Step 3: Cross multiply
   85,575x = 196,711.50 × 196,711.50
4. Step 4: Simplify right side
   85,575x = 38,695,414,232.25
5. Step 5: Solve for x
   x = 38,695,414,232.25/85,575
6. Step 6: Final answer
   x = 452,181.29